13107000456 has 192 divisors, whose sum is σ = 39249100800. Its totient is φ = 3918499200.

The previous prime is 13107000437. The next prime is 13107000469. The reversal of 13107000456 is 65400070131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31281415 + ... + 31281833.

It is an arithmetic number, because the mean of its divisors is an integer number (204422400).

Almost surely, 2^13107000456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13107000456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19624550400).

13107000456 is an abundant number, since it is smaller than the sum of its proper divisors (26142100344).

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

13107000456 is a wasteful number, since it uses less digits than its factorization.

13107000456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 13107000456 its reverse (65400070131), we get a palindrome (78507070587).

The spelling of 13107000456 in words is "thirteen billion, one hundred seven million, four hundred fifty-six", and thus it is an aban number.