131083400 has 96 divisors (see below), whose sum is σ = 351912000. Its totient is φ = 44478720.

The previous prime is 131083397. The next prime is 131083411. The reversal of 131083400 is 4380131.

It is a happy number.

131083400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152171 + ... + 153029.

It is an arithmetic number, because the mean of its divisors is an integer number (3665750).

Almost surely, 2^131083400 is an apocalyptic number.

131083400 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 131083400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175956000).

131083400 is an abundant number, since it is smaller than the sum of its proper divisors (220828600).

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

131083400 is a wasteful number, since it uses less digits than its factorization.

131083400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 131083400 is about 11449.1659084843. The cubic root of 131083400 is about 507.9830630681.

The spelling of 131083400 in words is "one hundred thirty-one million, eighty-three thousand, four hundred".