10131112400 has 60 divisors (see below), whose sum is σ = 24398217804. Its totient is φ = 4042752000.

The previous prime is 10131112399. The next prime is 10131112421. The reversal of 10131112400 is 421113101.

It can be written as a sum of positive squares in 6 ways, for example, as 438316096 + 9692796304 = 20936^2 + 98452^2 .

It is a super-2 number, since 2×10131112400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138320 + ... + 198480.

Almost surely, 2^10131112400 is an apocalyptic number.

10131112400 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 10131112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12199108902).

10131112400 is an abundant number, since it is smaller than the sum of its proper divisors (14267105404).

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

10131112400 is a wasteful number, since it uses less digits than its factorization.

10131112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60600 (or 60589 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10131112400 its reverse (421113101), we get a palindrome (10552225501).

The spelling of 10131112400 in words is "ten billion, one hundred thirty-one million, one hundred twelve thousand, four hundred".