13013113504400 has 30 divisors (see below), whose sum is σ = 31264005195282. Its totient is φ = 5205245401600.

The previous prime is 13013113504357. The next prime is 13013113504409. The reversal of 13013113504400 is 440531131031.

It can be written as a sum of positive squares in 3 ways, for example, as 201180955024 + 12811932549376 = 448532^2 + 3579376^2 .

It is a super-2 number, since 2×13013113504400² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13013113504400.

It is not an unprimeable number, because it can be changed into a prime (13013113504409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16266391481 + ... + 16266392280.

Almost surely, 2^{13013113504400} is an apocalyptic number.

13013113504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13013113504400 is an abundant number, since it is smaller than the sum of its proper divisors (18250891690882).

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

13013113504400 is a wasteful number, since it uses less digits than its factorization.

13013113504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32532783779 (or 32532783768 counting only the distinct ones).

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

Adding to 13013113504400 its reverse (440531131031), we get a palindrome (13453644635431).

The spelling of 13013113504400 in words is "thirteen trillion, thirteen billion, one hundred thirteen million, five hundred four thousand, four hundred".