100364512013 has 2 divisors, whose sum is σ = 100364512014. Its totient is φ = 100364512012.

The previous prime is 100364511983. The next prime is 100364512033. The reversal of 100364512013 is 310215463001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62213828329 + 38150683684 = 249427^2 + 195322^2 .

It is a cyclic number.

It is not a de Polignac number, because 100364512013 - 2¹² = 100364507917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100364512033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50182256006 + 50182256007.

It is an arithmetic number, because the mean of its divisors is an integer number (50182256007).

Almost surely, 2^100364512013 is an apocalyptic number.

It is an amenable number.

100364512013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100364512013 is an equidigital number, since it uses as much as digits as its factorization.

100364512013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 100364512013 its reverse (310215463001), we get a palindrome (410579975014).

The spelling of 100364512013 in words is "one hundred billion, three hundred sixty-four million, five hundred twelve thousand, thirteen".