131268100 has 18 divisors (see below), whose sum is σ = 284851994. Its totient is φ = 52507200.

The previous prime is 131268083. The next prime is 131268103. The reversal of 131268100 is 1862131.

It can be written as a sum of positive squares in 3 ways, for example, as 73984 + 131194116 = 272^2 + 11454^2 .

It is a super-2 number, since 2×131268100² = 34462628155220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131268103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 656241 + ... + 656440.

Almost surely, 2^131268100 is an apocalyptic number.

131268100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131268100 is an abundant number, since it is smaller than the sum of its proper divisors (153583894).

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

131268100 is a wasteful number, since it uses less digits than its factorization.

131268100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312695 (or 1312688 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 131268100 is about 11457.2291589197. The cubic root of 131268100 is about 508.2215383166.

The spelling of 131268100 in words is "one hundred thirty-one million, two hundred sixty-eight thousand, one hundred".