131322312 has 48 divisors (see below), whose sum is σ = 388000080. Its totient is φ = 39794400.

The previous prime is 131322299. The next prime is 131322313. The reversal of 131322312 is 213223131.

131322312 is a `hidden beast` number, since 1 + 31 + 322 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131322313) 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, 82114 + ... + 83697.

It is an arithmetic number, because the mean of its divisors is an integer number (8083335).

Almost surely, 2^131322312 is an apocalyptic number.

131322312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131322312 is an abundant number, since it is smaller than the sum of its proper divisors (256677768).

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

131322312 is a wasteful number, since it uses less digits than its factorization.

131322312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165834 (or 165827 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 131322312 is about 11459.5947572329. The cubic root of 131322312 is about 508.2914916261.

Adding to 131322312 its reverse (213223131), we get a palindrome (344545443).

It can be divided in two parts, 1 and 31322312, that added together give a palindrome (31322313).

The spelling of 131322312 in words is "one hundred thirty-one million, three hundred twenty-two thousand, three hundred twelve".