131133912 has 128 divisors (see below), whose sum is σ = 408307200. Its totient is φ = 34172928.

The previous prime is 131133889. The next prime is 131133913. The reversal of 131133912 is 219331131.

It is a super-2 number, since 2×131133912² = 34392205752847488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131133913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211539 + ... + 212157.

It is an arithmetic number, because the mean of its divisors is an integer number (3189900).

Almost surely, 2^131133912 is an apocalyptic number.

131133912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131133912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204153600).

131133912 is an abundant number, since it is smaller than the sum of its proper divisors (277173288).

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

131133912 is a wasteful number, since it uses less digits than its factorization.

131133912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 741 counting only the distinct ones).

The product of its digits is 486, while the sum is 24.

The square root of 131133912 is about 11451.3716209020. The cubic root of 131133912 is about 508.0483038368.

The spelling of 131133912 in words is "one hundred thirty-one million, one hundred thirty-three thousand, nine hundred twelve".