10120131400 has 24 divisors (see below), whose sum is σ = 23529305970. Its totient is φ = 4048052480.

The previous prime is 10120131389. The next prime is 10120131407. The reversal of 10120131400 is 413102101.

10120131400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4366302084 + 5753829316 = 66078^2 + 75854^2 .

It is not an unprimeable number, because it can be changed into a prime (10120131407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25300129 + ... + 25300528.

Almost surely, 2^10120131400 is an apocalyptic number.

10120131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120131400 is an abundant number, since it is smaller than the sum of its proper divisors (13409174570).

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

10120131400 is a wasteful number, since it uses less digits than its factorization.

10120131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50600673 (or 50600664 counting only the distinct ones).

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

Adding to 10120131400 its reverse (413102101), we get a palindrome (10533233501).

The spelling of 10120131400 in words is "ten billion, one hundred twenty million, one hundred thirty-one thousand, four hundred".