10131412100 has 36 divisors (see below), whose sum is σ = 21999078948. Its totient is φ = 4050000000.

The previous prime is 10131412087. The next prime is 10131412121. The reversal of 10131412100 is 121413101.

It can be written as a sum of positive squares in 6 ways, for example, as 1453744384 + 8677667716 = 38128^2 + 93154^2 .

It is a super-2 number, since 2×10131412100² (a number of 21 digits) contains 22 as substring.

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, 130850 + ... + 193350.

Almost surely, 2^10131412100 is an apocalyptic number.

10131412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131412100 is an abundant number, since it is smaller than the sum of its proper divisors (11867666848).

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

10131412100 is a wasteful number, since it uses less digits than its factorization.

10131412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64136 (or 64129 counting only the distinct ones).

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

Adding to 10131412100 its reverse (121413101), we get a palindrome (10252825201).

The spelling of 10131412100 in words is "ten billion, one hundred thirty-one million, four hundred twelve thousand, one hundred".