107131311 has 36 divisors (see below), whose sum is σ = 180191856. Its totient is φ = 60082560.

The previous prime is 107131301. The next prime is 107131313. The reversal of 107131311 is 113131701.

It is not a de Polignac number, because 107131311 - 2⁶ = 107131247 is a prime.

It is a super-2 number, since 2×107131311² = 22954235593157442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107131313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234195 + ... + 234651.

Almost surely, 2^107131311 is an apocalyptic number.

107131311 is a deficient number, since it is larger than the sum of its proper divisors (73060545).

107131311 is an equidigital number, since it uses as much as digits as its factorization.

107131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 107131311 is about 10350.4256434216. The cubic root of 107131311 is about 474.9400640904.

The spelling of 107131311 in words is "one hundred seven million, one hundred thirty-one thousand, three hundred eleven".