13013213136 has 120 divisors (see below), whose sum is σ = 42230338752. Its totient is φ = 3380044800.

The previous prime is 13013213113. The next prime is 13013213137. The reversal of 13013213136 is 63131231031.

It is a super-2 number, since 2×13013213136² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013213137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119385 + ... + 200696.

Almost surely, 2^13013213136 is an apocalyptic number.

13013213136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13013213136 is an abundant number, since it is smaller than the sum of its proper divisors (29217125616).

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

13013213136 is a wasteful number, since it uses less digits than its factorization.

13013213136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320121 (or 320104 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13013213136 its reverse (63131231031), we get a palindrome (76144444167).

The spelling of 13013213136 in words is "thirteen billion, thirteen million, two hundred thirteen thousand, one hundred thirty-six".