13038326952 has 128 divisors (see below), whose sum is σ = 38502850560. Its totient is φ = 3600495360.

The previous prime is 13038326933. The next prime is 13038326971. The reversal of 13038326952 is 25962383031.

It is an interprime number because it is at equal distance from previous prime (13038326933) and next prime (13038326971).

It is a super-2 number, since 2×13038326952² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7566363 + ... + 7568085.

It is an arithmetic number, because the mean of its divisors is an integer number (300803520).

Almost surely, 2^13038326952 is an apocalyptic number.

13038326952 is a gapful number since it is divisible by the number (12) 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 13038326952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19251425280).

13038326952 is an abundant number, since it is smaller than the sum of its proper divisors (25464523608).

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

13038326952 is a wasteful number, since it uses less digits than its factorization.

13038326952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 13038326952 in words is "thirteen billion, thirty-eight million, three hundred twenty-six thousand, nine hundred fifty-two".