100132220131031 has 32 divisors (see below), whose sum is σ = 118488316320000. Its totient is φ = 83584769748480.

The previous prime is 100132220131001. The next prime is 100132220131037. The reversal of 100132220131031 is 130131022231001.

It is a happy number.

It is not a de Polignac number, because 100132220131031 - 2⁴² = 95734173619927 is a prime.

It is a super-2 number, since 2×100132220131031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100132220130994 and 100132220131012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132220131037) 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, 341156 + ... + 14155593.

It is an arithmetic number, because the mean of its divisors is an integer number (3702759885000).

Almost surely, 2^{100132220131031} is an apocalyptic number.

100132220131031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100132220131031 is a deficient number, since it is larger than the sum of its proper divisors (18356096188969).

100132220131031 is a wasteful number, since it uses less digits than its factorization.

100132220131031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14497679.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100132220131031 its reverse (130131022231001), we get a palindrome (230263242362032).

The spelling of 100132220131031 in words is "one hundred trillion, one hundred thirty-two billion, two hundred twenty million, one hundred thirty-one thousand, thirty-one".