131112400 has 60 divisors (see below), whose sum is σ = 316142092. Its totient is φ = 52254720.

The previous prime is 131112379. The next prime is 131112403. The reversal of 131112400 is 4211131.

It can be written as a sum of positive squares in 6 ways, for example, as 11778624 + 119333776 = 3432^2 + 10924^2 .

It is a super-2 number, since 2×131112400² = 34380922867520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131112403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172822 + ... + 173578.

Almost surely, 2^131112400 is an apocalyptic number.

131112400 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 131112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158071046).

131112400 is an abundant number, since it is smaller than the sum of its proper divisors (185029692).

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

131112400 is a wasteful number, since it uses less digits than its factorization.

131112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 131112400 is about 11450.4323062494. The cubic root of 131112400 is about 508.0205212121.

Adding to 131112400 its reverse (4211131), we get a palindrome (135323531).

The spelling of 131112400 in words is "one hundred thirty-one million, one hundred twelve thousand, four hundred".