100101312033 has 24 divisors (see below), whose sum is σ = 142315131168. Its totient is φ = 62570043648.

The previous prime is 100101312019. The next prime is 100101312037. The reversal of 100101312033 is 330213101001.

It is not a de Polignac number, because 100101312033 - 2⁵ = 100101312001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100101312037) 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, 371391 + ... + 581492.

It is an arithmetic number, because the mean of its divisors is an integer number (5929797132).

Almost surely, 2^100101312033 is an apocalyptic number.

It is an amenable number.

100101312033 is a deficient number, since it is larger than the sum of its proper divisors (42213819135).

100101312033 is an equidigital number, since it uses as much as digits as its factorization.

100101312033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953021 (or 953002 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100101312033 its reverse (330213101001), we get a palindrome (430314413034).

The spelling of 100101312033 in words is "one hundred billion, one hundred one million, three hundred twelve thousand, thirty-three".