100113132033233 has 12 divisors (see below), whose sum is σ = 110139175558020. Its totient is φ = 90931325210880.

The previous prime is 100113132033181. The next prime is 100113132033259. The reversal of 100113132033233 is 332330231311001.

It can be written as a sum of positive squares in 2 ways, for example, as 27784621716544 + 72328510316689 = 5271112^2 + 8504617^2 .

It is not a de Polignac number, because 100113132033233 - 2²⁸ = 100112863597777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100113132033283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366285560 + ... + 366558777.

It is an arithmetic number, because the mean of its divisors is an integer number (9178264629835).

Almost surely, 2^{100113132033233} is an apocalyptic number.

It is an amenable number.

100113132033233 is a deficient number, since it is larger than the sum of its proper divisors (10026043524787).

100113132033233 is a wasteful number, since it uses less digits than its factorization.

100113132033233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732845488 (or 732845477 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 100113132033233 its reverse (332330231311001), we get a palindrome (432443363344234).

The spelling of 100113132033233 in words is "one hundred trillion, one hundred thirteen billion, one hundred thirty-two million, thirty-three thousand, two hundred thirty-three".