131013023232 has 480 divisors, whose sum is σ = 439694795232. Its totient is φ = 34359607296.

The previous prime is 131013023227. The next prime is 131013023237. The reversal of 131013023232 is 232320310131.

It is an interprime number because it is at equal distance from previous prime (131013023227) and next prime (131013023237).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 131013023199 and 131013023208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131013023237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286680348 + ... + 286680804.

Almost surely, 2^131013023232 is an apocalyptic number.

131013023232 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 131013023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219847397616).

131013023232 is an abundant number, since it is smaller than the sum of its proper divisors (308681772000).

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

131013023232 is a wasteful number, since it uses less digits than its factorization.

131013023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 131013023232 its reverse (232320310131), we get a palindrome (363333333363).

The spelling of 131013023232 in words is "one hundred thirty-one billion, thirteen million, twenty-three thousand, two hundred thirty-two".