131310972 has 108 divisors (see below), whose sum is σ = 364500864. Its totient is φ = 39836160.

The previous prime is 131310953. The next prime is 131310973. The reversal of 131310972 is 279013131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131310973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 687397 + ... + 687587.

It is an arithmetic number, because the mean of its divisors is an integer number (3375008).

Almost surely, 2^131310972 is an apocalyptic number.

131310972 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 131310972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182250432).

131310972 is an abundant number, since it is smaller than the sum of its proper divisors (233189892).

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

131310972 is a wasteful number, since it uses less digits than its factorization.

131310972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 131310972 is about 11459.0999646569. The cubic root of 131310972 is about 508.2768604707.

The spelling of 131310972 in words is "one hundred thirty-one million, three hundred ten thousand, nine hundred seventy-two".