131312692 has 48 divisors (see below), whose sum is σ = 281957760. Its totient is φ = 52227072.

The previous prime is 131312659. The next prime is 131312693. The reversal of 131312692 is 296213131.

It is a super-3 number, since 3×131312692³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 131312692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131312693) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32859 + ... + 36637.

It is an arithmetic number, because the mean of its divisors is an integer number (5874120).

Almost surely, 2^131312692 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 131312692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140978880).

131312692 is an abundant number, since it is smaller than the sum of its proper divisors (150645068).

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

131312692 is a wasteful number, since it uses less digits than its factorization.

131312692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3878 counting only the distinct ones).

The product of its digits is 1944, while the sum is 28.

The square root of 131312692 is about 11459.1750139353. The cubic root of 131312692 is about 508.2790797125.

The spelling of 131312692 in words is "one hundred thirty-one million, three hundred twelve thousand, six hundred ninety-two".