131281200 has 90 divisors (see below), whose sum is σ = 455594724. Its totient is φ = 35007360.

The previous prime is 131281181. The next prime is 131281219. The reversal of 131281200 is 2182131.

It is an interprime number because it is at equal distance from previous prime (131281181) and next prime (131281219).

It is a tau number, because it is divible by the number of its divisors (90).

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 (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14634 + ... + 21833.

Almost surely, 2^131281200 is an apocalyptic number.

131281200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131281200 is an abundant number, since it is smaller than the sum of its proper divisors (324313524).

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

131281200 is a wasteful number, since it uses less digits than its factorization.

131281200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36491 (or 36477 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 131281200 is about 11457.8008361116. The cubic root of 131281200 is about 508.2384438727.

The spelling of 131281200 in words is "one hundred thirty-one million, two hundred eighty-one thousand, two hundred".