100133010022133 has 24 divisors (see below), whose sum is σ = 112452757818240. Its totient is φ = 89055612201600.

The previous prime is 100133010022033. The next prime is 100133010022141. The reversal of 100133010022133 is 331220010331001.

It is not a de Polignac number, because 100133010022133 - 2¹⁸ = 100133009759989 is a prime.

It is a super-2 number, since 2×100133010022133² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133010022033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9770813 + ... + 17196941.

It is an arithmetic number, because the mean of its divisors is an integer number (4685531575760).

Almost surely, 2^{100133010022133} is an apocalyptic number.

It is an amenable number.

100133010022133 is a deficient number, since it is larger than the sum of its proper divisors (12319747796107).

100133010022133 is a wasteful number, since it uses less digits than its factorization.

100133010022133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7428569 (or 7428558 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 100133010022133 its reverse (331220010331001), we get a palindrome (431353020353134).

The spelling of 100133010022133 in words is "one hundred trillion, one hundred thirty-three billion, ten million, twenty-two thousand, one hundred thirty-three".