100313131032 has 48 divisors (see below), whose sum is σ = 271903778640. Its totient is φ = 33410340288.

The previous prime is 100313131031. The next prime is 100313131057. The reversal of 100313131032 is 230131313001.

It is a happy number.

100313131032 is a `hidden beast` number, since 10 + 0 + 313 + 1 + 310 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100313130996 and 100313131014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313131031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481543 + ... + 657654.

It is an arithmetic number, because the mean of its divisors is an integer number (5664662055).

Almost surely, 2^100313131032 is an apocalyptic number.

100313131032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100313131032 is an abundant number, since it is smaller than the sum of its proper divisors (171590647608).

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

100313131032 is a wasteful number, since it uses less digits than its factorization.

100313131032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140432 (or 1140425 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100313131032 its reverse (230131313001), we get a palindrome (330444444033).

The spelling of 100313131032 in words is "one hundred billion, three hundred thirteen million, one hundred thirty-one thousand, thirty-two".