131080400 has 120 divisors (see below), whose sum is σ = 355001088. Its totient is φ = 46128000.

The previous prime is 131080361. The next prime is 131080409. The reversal of 131080400 is 4080131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131080409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4228385 + ... + 4228415.

Almost surely, 2^131080400 is an apocalyptic number.

131080400 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 131080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177500544).

131080400 is an abundant number, since it is smaller than the sum of its proper divisors (223920688).

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

131080400 is an equidigital number, since it uses as much as digits as its factorization.

131080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 131080400 is about 11449.0348938240. The cubic root of 131080400 is about 507.9791877724.

The spelling of 131080400 in words is "one hundred thirty-one million, eighty thousand, four hundred".