100132131113010 has 128 divisors (see below), whose sum is σ = 267154414306560. Its totient is φ = 26688365803008.

The previous prime is 100132131112973. The next prime is 100132131113039. The reversal of 100132131113010 is 10311131231001.

100132131113010 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 321 + 31 + 11 + 301 + 0 = 666.

It is a super-2 number, since 2×100132131113010² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5405817609 + ... + 5405836131.

It is an arithmetic number, because the mean of its divisors is an integer number (2087143861770).

Almost surely, 2^{100132131113010} is an apocalyptic number.

100132131113010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100132131113010 is an abundant number, since it is smaller than the sum of its proper divisors (167022283193550).

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

100132131113010 is a wasteful number, since it uses less digits than its factorization.

100132131113010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27609 (or 27603 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 100132131113010 its reverse (10311131231001), we get a palindrome (110443262344011).

The spelling of 100132131113010 in words is "one hundred trillion, one hundred thirty-two billion, one hundred thirty-one million, one hundred thirteen thousand, ten".