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13201013130 = 2354190711833
BaseRepresentation
bin11000100101101011…
…10111100110001010
31021002000000221122020
430102311313212022
5204013424410010
610021531305310
7645063521514
oct142265674612
937060027566
1013201013130
11566469a608
122684bab236
131324c22196
148d3332bb4
15523e0b470
hex312d7798a

13201013130 has 64 divisors (see below), whose sum is σ = 32493702528. Its totient is φ = 3430333440.

The previous prime is 13201013129. The next prime is 13201013131. The reversal of 13201013130 is 3131010231.

It is an interprime number because it is at equal distance from previous prime (13201013129) and next prime (13201013131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13201013131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1109694 + ... + 1121526.

It is an arithmetic number, because the mean of its divisors is an integer number (507714102).

Almost surely, 213201013130 is an apocalyptic number.

13201013130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13201013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16246851264).

13201013130 is an abundant number, since it is smaller than the sum of its proper divisors (19292689398).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13201013130 is a wasteful number, since it uses less digits than its factorization.

13201013130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12791.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13201013130 its reverse (3131010231), we get a palindrome (16332023361).

It can be divided in two parts, 1320101 and 3130, that added together give a palindrome (1323231).

The spelling of 13201013130 in words is "thirteen billion, two hundred one million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 907 1230 1814 2721 4535 5442 9070 11833 13605 23666 27210 35499 37187 59165 70998 74374 111561 118330 177495 185935 223122 354990 371870 485153 557805 970306 1115610 1455459 2425765 2910918 4851530 7277295 10732531 14554590 21465062 32197593 53662655 64395186 107325310 160987965 321975930 440033771 880067542 1320101313 2200168855 2640202626 4400337710 6600506565 13201013130