131020100 has 36 divisors (see below), whose sum is σ = 284812500. Its totient is φ = 52316160.

The previous prime is 131020093. The next prime is 131020103. The reversal of 131020100 is 1020131.

It can be written as a sum of positive squares in 6 ways, for example, as 329476 + 130690624 = 574^2 + 11432^2 .

It is not an unprimeable number, because it can be changed into a prime (131020103) 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, 104276 + ... + 105524.

Almost surely, 2^131020100 is an apocalyptic number.

131020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020100 is an abundant number, since it is smaller than the sum of its proper divisors (153792400).

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

131020100 is a wasteful number, since it uses less digits than its factorization.

131020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 131020100 is about 11446.4011811573. The cubic root of 131020100 is about 507.9012817869.

Adding to 131020100 its reverse (1020131), we get a palindrome (132040231).

The spelling of 131020100 in words is "one hundred thirty-one million, twenty thousand, one hundred".