13032031011972 has 96 divisors (see below), whose sum is σ = 35023216865280. Its totient is φ = 3694414475520.

The previous prime is 13032031011971. The next prime is 13032031012009. The reversal of 13032031011972 is 27911013023031.

It is not an unprimeable number, because it can be changed into a prime (13032031011971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22861029 + ... + 23424147.

It is an arithmetic number, because the mean of its divisors is an integer number (364825175680).

Almost surely, 2^{13032031011972} is an apocalyptic number.

13032031011972 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 13032031011972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17511608432640).

13032031011972 is an abundant number, since it is smaller than the sum of its proper divisors (21991185853308).

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

13032031011972 is a wasteful number, since it uses less digits than its factorization.

13032031011972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565281 (or 565279 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 13032031011972 in words is "thirteen trillion, thirty-two billion, thirty-one million, eleven thousand, nine hundred seventy-two".