10100031100133 has 16 divisors (see below), whose sum is σ = 11229222950400. Its totient is φ = 9021237848640.

The previous prime is 10100031100097. The next prime is 10100031100139. The reversal of 10100031100133 is 33100113000101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10100031100133 - 2⁸ = 10100031099877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100031100139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1692863 + ... + 4802691.

It is an arithmetic number, because the mean of its divisors is an integer number (701826434400).

Almost surely, 2^{10100031100133} is an apocalyptic number.

10100031100133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10100031100133 is a deficient number, since it is larger than the sum of its proper divisors (1129191850267).

10100031100133 is a wasteful number, since it uses less digits than its factorization.

10100031100133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117932.

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

Adding to 10100031100133 its reverse (33100113000101), we get a palindrome (43200144100234).

The spelling of 10100031100133 in words is "ten trillion, one hundred billion, thirty-one million, one hundred thousand, one hundred thirty-three".