100182153576013 has 2 divisors, whose sum is σ = 100182153576014. Its totient is φ = 100182153576012.

The previous prime is 100182153575843. The next prime is 100182153576067. The reversal of 100182153576013 is 310675351281001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100143791652969 + 38361923044 = 10007187^2 + 195862^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100182153576013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100182153586013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50091076788006 + 50091076788007.

It is an arithmetic number, because the mean of its divisors is an integer number (50091076788007).

Almost surely, 2^{100182153576013} is an apocalyptic number.

It is an amenable number.

100182153576013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100182153576013 is an equidigital number, since it uses as much as digits as its factorization.

100182153576013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 100182153576013 in words is "one hundred trillion, one hundred eighty-two billion, one hundred fifty-three million, five hundred seventy-six thousand, thirteen".