13002813960 has 128 divisors (see below), whose sum is σ = 39338956800. Its totient is φ = 3438167040.

The previous prime is 13002813907. The next prime is 13002813961. The reversal of 13002813960 is 6931820031.

It is not an unprimeable number, because it can be changed into a prime (13002813961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9098526 + ... + 9099954.

It is an arithmetic number, because the mean of its divisors is an integer number (307335600).

Almost surely, 2^13002813960 is an apocalyptic number.

13002813960 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 13002813960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669478400).

13002813960 is an abundant number, since it is smaller than the sum of its proper divisors (26336142840).

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

13002813960 is a wasteful number, since it uses less digits than its factorization.

13002813960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 13002813960 in words is "thirteen billion, two million, eight hundred thirteen thousand, nine hundred sixty".