13101305260400 has 60 divisors (see below), whose sum is σ = 35972441022672. Its totient is φ = 4491876088320.

The previous prime is 13101305260399. The next prime is 13101305260409. The reversal of 13101305260400 is 406250310131.

13101305260400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13101305260400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101305260409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2339515997 + ... + 2339521596.

Almost surely, 2^{13101305260400} is an apocalyptic number.

13101305260400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101305260400 is an abundant number, since it is smaller than the sum of its proper divisors (22871135762272).

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

13101305260400 is a wasteful number, since it uses less digits than its factorization.

13101305260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4679037618 (or 4679037607 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 13101305260400 its reverse (406250310131), we get a palindrome (13507555570531).

The spelling of 13101305260400 in words is "thirteen trillion, one hundred one billion, three hundred five million, two hundred sixty thousand, four hundred".