100131000 has 64 divisors (see below), whose sum is σ = 312418080. Its totient is φ = 26700800.

The previous prime is 100130993. The next prime is 100131001. The reversal of 100131000 is 131001.

It is a super-2 number, since 2×100131000² = 20052434322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 100131000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13689 + ... + 19688.

Almost surely, 2^100131000 is an apocalyptic number.

100131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131000 is an abundant number, since it is smaller than the sum of its proper divisors (212287080).

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

100131000 is a wasteful number, since it uses less digits than its factorization.

100131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33401 (or 33387 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 100131000 is about 10006.5478562789. The cubic root of 100131000 is about 464.3614776333.

Adding to 100131000 its reverse (131001), we get a palindrome (100262001).

Subtracting from 100131000 its reverse (131001), we obtain a palindrome (99999999).

The spelling of 100131000 in words is "one hundred million, one hundred thirty-one thousand".