10100133131 has 8 divisors (see below), whose sum is σ = 11274567744. Its totient is φ = 8968405320.

The previous prime is 10100133073. The next prime is 10100133161. The reversal of 10100133131 is 13133100101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100133131 - 2¹⁸ = 10099870987 is a prime.

It is a super-2 number, since 2×10100133131² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10100133161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10676201 + ... + 10677146.

It is an arithmetic number, because the mean of its divisors is an integer number (1409320968).

Almost surely, 2^10100133131 is an apocalyptic number.

10100133131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100133131 is a deficient number, since it is larger than the sum of its proper divisors (1174434613).

10100133131 is a wasteful number, since it uses less digits than its factorization.

10100133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21353401.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10100133131 its reverse (13133100101), we get a palindrome (23233233232).

The spelling of 10100133131 in words is "ten billion, one hundred million, one hundred thirty-three thousand, one hundred thirty-one".