131113400 has 96 divisors (see below), whose sum is σ = 338348880. Its totient is φ = 46848000.

The previous prime is 131113397. The next prime is 131113417. The reversal of 131113400 is 4311131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133712 + ... + 134688.

Almost surely, 2^131113400 is an apocalyptic number.

131113400 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 131113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169174440).

131113400 is an abundant number, since it is smaller than the sum of its proper divisors (207235480).

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

131113400 is a wasteful number, since it uses less digits than its factorization.

131113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1056 counting only the distinct ones).

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

The square root of 131113400 is about 11450.4759726397. The cubic root of 131113400 is about 508.0218127737.

Adding to 131113400 its reverse (4311131), we get a palindrome (135424531).

The spelling of 131113400 in words is "one hundred thirty-one million, one hundred thirteen thousand, four hundred".