131561120 has 48 divisors (see below), whose sum is σ = 312235560. Its totient is φ = 52383744.

The previous prime is 131561107. The next prime is 131561153. The reversal of 131561120 is 21165131.

It can be written as a sum of positive squares in 4 ways, for example, as 56010256 + 75550864 = 7484^2 + 8692^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131561092 and 131561101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35516 + ... + 39044.

Almost surely, 2^131561120 is an apocalyptic number.

131561120 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 131561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156117780).

131561120 is an abundant number, since it is smaller than the sum of its proper divisors (180674440).

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

131561120 is a wasteful number, since it uses less digits than its factorization.

131561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 131561120 is about 11470.0095902314. The cubic root of 131561120 is about 508.5994123149.

The spelling of 131561120 in words is "one hundred thirty-one million, five hundred sixty-one thousand, one hundred twenty".