131311312 has 80 divisors (see below), whose sum is σ = 286856640. Its totient is φ = 57728000.

The previous prime is 131311309. The next prime is 131311321. The reversal of 131311312 is 213113131.

It is a super-2 number, since 2×131311312² = 34485321318322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1300062 + ... + 1300162.

It is an arithmetic number, because the mean of its divisors is an integer number (3585708).

Almost surely, 2^131311312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143428320).

131311312 is an abundant number, since it is smaller than the sum of its proper divisors (155545328).

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

131311312 is a wasteful number, since it uses less digits than its factorization.

131311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its digits is 54, while the sum is 16.

The square root of 131311312 is about 11459.1148000184. The cubic root of 131311312 is about 508.2772991596.

Adding to 131311312 its reverse (213113131), we get a palindrome (344424443).

It can be divided in two parts, 1 and 31311312, that added together give a palindrome (31311313).

The spelling of 131311312 in words is "one hundred thirty-one million, three hundred eleven thousand, three hundred twelve".