13213098864 has 640 divisors, whose sum is σ = 47996928000. Its totient is φ = 3396556800.

The previous prime is 13213098859. The next prime is 13213098881. The reversal of 13213098864 is 46889031231.

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, 167254377 + ... + 167254455.

It is an arithmetic number, because the mean of its divisors is an integer number (74995200).

Almost surely, 2^13213098864 is an apocalyptic number.

13213098864 is a gapful number since it is divisible by the number (14) 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 13213098864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464000).

13213098864 is an abundant number, since it is smaller than the sum of its proper divisors (34783829136).

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

13213098864 is a wasteful number, since it uses less digits than its factorization.

13213098864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13213098864 in words is "thirteen billion, two hundred thirteen million, ninety-eight thousand, eight hundred sixty-four".