100313004402067 has 2 divisors, whose sum is σ = 100313004402068. Its totient is φ = 100313004402066.

The previous prime is 100313004402043. The next prime is 100313004402181. The reversal of 100313004402067 is 760204400313001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100313004402067 - 2²³ = 100312996013459 is a prime.

It is a super-2 number, since 2×100313004402067² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100313004406067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156502201033 + 50156502201034.

It is an arithmetic number, because the mean of its divisors is an integer number (50156502201034).

Almost surely, 2^{100313004402067} is an apocalyptic number.

100313004402067 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313004402067 is an equidigital number, since it uses as much as digits as its factorization.

100313004402067 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 31.

Adding to 100313004402067 its reverse (760204400313001), we get a palindrome (860517404715068).

The spelling of 100313004402067 in words is "one hundred trillion, three hundred thirteen billion, four million, four hundred two thousand, sixty-seven".