10114131400 has 24 divisors (see below), whose sum is σ = 23515355970. Its totient is φ = 4045652480.

The previous prime is 10114131397. The next prime is 10114131403. The reversal of 10114131400 is 413141101.

10114131400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10114131397) and next prime (10114131403).

It can be written as a sum of positive squares in 3 ways, for example, as 4524176644 + 5589954756 = 67262^2 + 74766^2 .

It is not an unprimeable number, because it can be changed into a prime (10114131403) 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, 25285129 + ... + 25285528.

Almost surely, 2^10114131400 is an apocalyptic number.

10114131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114131400 is an abundant number, since it is smaller than the sum of its proper divisors (13401224570).

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

10114131400 is a wasteful number, since it uses less digits than its factorization.

10114131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50570673 (or 50570664 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10114131400 its reverse (413141101), we get a palindrome (10527272501).

The spelling of 10114131400 in words is "ten billion, one hundred fourteen million, one hundred thirty-one thousand, four hundred".