131279820 has 96 divisors (see below), whose sum is σ = 428736000. Its totient is φ = 30002112.

The previous prime is 131279809. The next prime is 131279849. The reversal of 131279820 is 28972131.

It is a super-2 number, since 2×131279820² = 34468782278464800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17391 + ... + 23769.

It is an arithmetic number, because the mean of its divisors is an integer number (4466000).

Almost surely, 2^131279820 is an apocalyptic number.

131279820 is a gapful number since it is divisible by the number (10) 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 131279820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214368000).

131279820 is an abundant number, since it is smaller than the sum of its proper divisors (297456180).

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

131279820 is a wasteful number, since it uses less digits than its factorization.

131279820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 131279820 is about 11457.7406149729. The cubic root of 131279820 is about 508.2366630350.

The spelling of 131279820 in words is "one hundred thirty-one million, two hundred seventy-nine thousand, eight hundred twenty".