100133913167 has 2 divisors, whose sum is σ = 100133913168. Its totient is φ = 100133913166.

The previous prime is 100133913127. The next prime is 100133913197. The reversal of 100133913167 is 761319331001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100133913167 - 2¹⁴ = 100133896783 is a prime.

It is a super-2 number, since 2×100133913167² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100133913127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066956583 + 50066956584.

It is an arithmetic number, because the mean of its divisors is an integer number (50066956584).

Almost surely, 2^100133913167 is an apocalyptic number.

100133913167 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133913167 is an equidigital number, since it uses as much as digits as its factorization.

100133913167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 35.

The spelling of 100133913167 in words is "one hundred billion, one hundred thirty-three million, nine hundred thirteen thousand, one hundred sixty-seven".