131020012032 has 320 divisors, whose sum is σ = 439605196800. Its totient is φ = 33749581824.

The previous prime is 131020012007. The next prime is 131020012037. The reversal of 131020012032 is 230210020131.

It is not an unprimeable number, because it can be changed into a prime (131020012037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5999469 + ... + 6021267.

It is an arithmetic number, because the mean of its divisors is an integer number (1373766240).

Almost surely, 2^131020012032 is an apocalyptic number.

131020012032 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 131020012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219802598400).

131020012032 is an abundant number, since it is smaller than the sum of its proper divisors (308585184768).

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

131020012032 is a wasteful number, since it uses less digits than its factorization.

131020012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21883 (or 21867 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 131020012032 its reverse (230210020131), we get a palindrome (361230032163).

The spelling of 131020012032 in words is "one hundred thirty-one billion, twenty million, twelve thousand, thirty-two".