131311400 has 96 divisors (see below), whose sum is σ = 352745280. Its totient is φ = 44928000.

The previous prime is 131311361. The next prime is 131311423. The reversal of 131311400 is 4113131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35645 + ... + 39155.

It is an arithmetic number, because the mean of its divisors is an integer number (3674430).

Almost surely, 2^131311400 is an apocalyptic number.

131311400 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 131311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176372640).

131311400 is an abundant number, since it is smaller than the sum of its proper divisors (221433880).

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

131311400 is a wasteful number, since it uses less digits than its factorization.

131311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 131311400 is about 11459.1186397559. The cubic root of 131311400 is about 508.2774127025.

Adding to 131311400 its reverse (4113131), we get a palindrome (135424531).

The spelling of 131311400 in words is "one hundred thirty-one million, three hundred eleven thousand, four hundred".