12513106944 has 528 divisors, whose sum is σ = 42918220800. Its totient is φ = 3474358272.

The previous prime is 12513106937. The next prime is 12513106951. The reversal of 12513106944 is 44960131521.

It is a happy number.

12513106944 is a `hidden beast` number, since 1 + 251 + 310 + 6 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12513106937) and next prime (12513106951).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12513106899 and 12513106908.

It is a congruent number.

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, 52355977 + ... + 52356215.

Almost surely, 2^12513106944 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 12513106944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21459110400).

12513106944 is an abundant number, since it is smaller than the sum of its proper divisors (30405113856).

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

12513106944 is a wasteful number, since it uses less digits than its factorization.

12513106944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12513106944 in words is "twelve billion, five hundred thirteen million, one hundred six thousand, nine hundred forty-four".