100133002000319 has 2 divisors, whose sum is σ = 100133002000320. Its totient is φ = 100133002000318.

The previous prime is 100133002000313. The next prime is 100133002000321. The reversal of 100133002000319 is 913000200331001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100133002000319 - 2²⁰ = 100133000951743 is a prime.

It is a super-2 number, since 2×100133002000319² (a number of 29 digits) contains 22 as substring.

Together with 100133002000321, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100133002000294 and 100133002000303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100133002000313) 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 as a sum of consecutive naturals, namely, 50066501000159 + 50066501000160.

It is an arithmetic number, because the mean of its divisors is an integer number (50066501000160).

Almost surely, 2^{100133002000319} is an apocalyptic number.

100133002000319 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133002000319 is an equidigital number, since it uses as much as digits as its factorization.

100133002000319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

The spelling of 100133002000319 in words is "one hundred trillion, one hundred thirty-three billion, two million, three hundred nineteen", and thus it is an aban number.