100133013289 has 2 divisors, whose sum is σ = 100133013290. Its totient is φ = 100133013288.

The previous prime is 100133013193. The next prime is 100133013353. The reversal of 100133013289 is 982310331001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50662356889 + 49470656400 = 225083^2 + 222420^2 .

It is a cyclic number.

It is not a de Polignac number, because 100133013289 - 2²³ = 100124624681 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100133013289.

It is not a weakly prime, because it can be changed into another prime (100133013889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066506644 + 50066506645.

It is an arithmetic number, because the mean of its divisors is an integer number (50066506645).

Almost surely, 2^100133013289 is an apocalyptic number.

It is an amenable number.

100133013289 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133013289 is an equidigital number, since it uses as much as digits as its factorization.

100133013289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 100133013289 in words is "one hundred billion, one hundred thirty-three million, thirteen thousand, two hundred eighty-nine".