13531065072 has 80 divisors (see below), whose sum is σ = 39962680320. Its totient is φ = 3864681216.

The previous prime is 13531065049. The next prime is 13531065073. The reversal of 13531065072 is 27056013531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531065073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1370329 + ... + 1380167.

It is an arithmetic number, because the mean of its divisors is an integer number (499533504).

Almost surely, 2^13531065072 is an apocalyptic number.

13531065072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13531065072 is an abundant number, since it is smaller than the sum of its proper divisors (26431615248).

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

13531065072 is a wasteful number, since it uses less digits than its factorization.

13531065072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13950 (or 13944 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The spelling of 13531065072 in words is "thirteen billion, five hundred thirty-one million, sixty-five thousand, seventy-two".