131032010032 has 160 divisors (see below), whose sum is σ = 336552744960. Its totient is φ = 47845539840.

The previous prime is 131032010027. The next prime is 131032010033. The reversal of 131032010032 is 230010230131.

It is a super-2 number, since 2×131032010032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 131032009988 and 131032010015.

It is not an unprimeable number, because it can be changed into a prime (131032010033) 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, 4992528 + ... + 5018704.

It is an arithmetic number, because the mean of its divisors is an integer number (2103454656).

Almost surely, 2^131032010032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131032010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168276372480).

131032010032 is an abundant number, since it is smaller than the sum of its proper divisors (205520734928).

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

131032010032 is a wasteful number, since it uses less digits than its factorization.

131032010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26459 (or 26453 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 131032010032 its reverse (230010230131), we get a palindrome (361042240163).

The spelling of 131032010032 in words is "one hundred thirty-one billion, thirty-two million, ten thousand, thirty-two".