13012917840 has 640 divisors, whose sum is σ = 50396774400. Its totient is φ = 3065610240.

The previous prime is 13012917823. The next prime is 13012917913. The reversal of 13012917840 is 4871921031.

It is a happy number.

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 = 13012917795 and 13012917804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102463857 + ... + 102463983.

It is an arithmetic number, because the mean of its divisors is an integer number (78744960).

Almost surely, 2^13012917840 is an apocalyptic number.

13012917840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13012917840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25198387200).

13012917840 is an abundant number, since it is smaller than the sum of its proper divisors (37383856560).

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

13012917840 is a wasteful number, since it uses less digits than its factorization.

13012917840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 13012917840 in words is "thirteen billion, twelve million, nine hundred seventeen thousand, eight hundred forty".