131333312 has 56 divisors (see below), whose sum is σ = 296704512. Its totient is φ = 57094400.

The previous prime is 131333303. The next prime is 131333317. The reversal of 131333312 is 213333131.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (131333317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12137 + ... + 20247.

Almost surely, 2^131333312 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 131333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148352256).

131333312 is an abundant number, since it is smaller than the sum of its proper divisors (165371200).

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

131333312 is a wasteful number, since it uses less digits than its factorization.

131333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8157 (or 8147 counting only the distinct ones).

The product of its digits is 486, while the sum is 20.

The square root of 131333312 is about 11460.0746943465. The cubic root of 131333312 is about 508.3056833000.

Adding to 131333312 its reverse (213333131), we get a palindrome (344666443).

It can be divided in two parts, 1 and 31333312, that added together give a palindrome (31333313).

The spelling of 131333312 in words is "one hundred thirty-one million, three hundred thirty-three thousand, three hundred twelve".