The Philadelphia Athletics had the most runs by a team in a game in 1913, with 21 runs versus the Tigers on September 23, 1913.

Interpreted as:

MLB team most runs in a regular-season game 1913

	TEAM	R	DATE	TM		OPP	RESULT	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	PA	TB	XBH	SH	AVG	OBP	SLG	OPS
1	Athletics	21	9/23/1913	PHA	vs	DET	W 21-8	46	25	2	2	0	19	5	2	2	2	54	31	4	1	.543	.604	.674	1.278
2	Red Sox	18	9/12/1913	BSA	vs	DET	W 18-5	39	21	3	3	0		7	0	4	0	48	30	6	2	.538	.609	.769	1.378
3	Braves	17	7/3/1913	BSN	@	BKN	W 17-4	45	20	3	0	2		8	0	0	3	55	29	5	2	.444	.528	.644	1.173
4	Phillies	16	8/8/1913	PHN	@	CHC	W 16-3	36	15	2	1	3	16	7	0	3	3	46	28	6	3	.417	.512	.778	1.289
5	Athletics	16	7/12/1913	PHA	@	DET	W 16-9	45	15	2	1	0	14	7	1	5	2	53	19	3	0	.333	.434	.422	.856
6	Tigers	15	9/11/1913	DET	@	BSA	W 15-2	46	20	3	2	0	13	5	0	2	2	53	27	5	2	.435	.490	.587	1.077
7	Pirates	15	9/8/1913	PIT	@	CIN	W 15-2	39	15	2	1	0	13	5	0	1	3	49	19	3	5	.385	.455	.487	.942
8	Cardinals	15	8/27/1913	SLN	@	PHN	W 15-4	42	22	2	1	0	11	4	0	5	3	51	26	3	5	.524	.565	.619	1.184
9	Braves	15	7/7/1913	BSN	@	PHN	W 15-11	37	18	3	1	2	15	10	0	1	2	51	29	6	4	.486	.596	.784	1.380
10	Superbas	15	7/2/1913	BKN	vs	BSN	W 15-3	33	13	1	1	0	12	8	1	2	4	45	16	2	3	.394	.524	.485	1.009
11	Red Sox	15	5/15/1913	BSA	@	SLA	W 15-4	40	16	1	2	2		3	1	5	1	46	27	5	2	.400	.455	.675	1.130
12	Superbas	14	8/16/1913	BKN	vs	SLN	W 14-5	42	20	3	1	4	14	2	0	1	0	46	37	8	2	.476	.500	.881	1.381
13	Cubs	14	8/15/1913	CHC	@	BSN	W 14-6	37	16	2	3	0	12	4	1	6	2	47	24	5	5	.432	.500	.649	1.149
14	Giants	14	7/11/1913	NYG	vs	CHC	W 14-4	44	23	5	0	0	12	7	0	3	3	54	28	5	3	.523	.588	.636	1.225
15	Athletics	14	6/25/1913	PHA	@	WSH	W 14-2	39	18	2	0	1		4	1	4	0	48	23	3	4	.462	.523	.590	1.112
16	Athletics	14	6/4/1913	PHA	vs	DET	W 14-6	37	16	3	3	0	14	4	0	1	2	42	25	6	1	.432	.488	.676	1.163
17	Giants	14	5/14/1913	NYG	vs	CHC	W 14-11	34	12	3	1	0	12	8	3	5	2	47	17	4	2	.353	.511	.500	1.011
18	Giants	13	10/3/1913	NYG	vs	PHN	W 13-3	40	16	2	1	1	9	4	0	1	2	44	23	4	0	.400	.455	.575	1.030
19	Athletics	13	10/3/1913	PHA	vs	NYY	W 13-10	38	15	2	0	2	10	7	2	2	3	47	23	4	0	.395	.511	.605	1.116
20	Phillies	13	9/8/1913	PHN	@	BSN	W 13-0	44	16	2	0	1		2	2	4	2	50	21	3	2	.364	.417	.477	.894
21	Braves	13	8/30/1913	BSN	@	BKN	W 13-0	40	14	2	1	0	11	4	0	4	2	47	18	3	3	.350	.409	.450	.859
22	Pirates	13	8/23/1913	PIT	@	PHN	W 13-8	41	17	6	0	1	13	4	0	9	1	47	26	7	2	.415	.467	.634	1.101
23	Pirates	13	8/14/1913	PIT	@	BKN	W 13-8	42	19	3	3	1	12	5	0	2	2	47	31	7	0	.452	.511	.738	1.249
24	Pirates	13	8/11/1913	PIT	vs	CIN	W 13-1	40	17	2	3	0	11	1	0	1	7	42	25	5	1	.425	.439	.625	1.064
25	Cubs	13	8/5/1913	CHC	vs	BKN	W 13-2	36	16	3	1	1	13	5	0	1	2	41	24	5	0	.444	.512	.667	1.179