100231312033 has 2 divisors, whose sum is σ = 100231312034. Its totient is φ = 100231312032.

The previous prime is 100231312021. The next prime is 100231312063. The reversal of 100231312033 is 330213132001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71474953104 + 28756358929 = 267348^2 + 169577^2 .

It is an emirp because it is prime and its reverse (330213132001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100231312033 - 2¹⁷ = 100231180961 is a prime.

It is a super-2 number, since 2×100231312033² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100231312033.

It is not a weakly prime, because it can be changed into another prime (100231312063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50115656016 + 50115656017.

It is an arithmetic number, because the mean of its divisors is an integer number (50115656017).

Almost surely, 2^100231312033 is an apocalyptic number.

It is an amenable number.

100231312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100231312033 is an equidigital number, since it uses as much as digits as its factorization.

100231312033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100231312033 its reverse (330213132001), we get a palindrome (430444444034).

The spelling of 100231312033 in words is "one hundred billion, two hundred thirty-one million, three hundred twelve thousand, thirty-three".