100023130013 has 2 divisors, whose sum is σ = 100023130014. Its totient is φ = 100023130012.

The previous prime is 100023129989. The next prime is 100023130063. The reversal of 100023130013 is 310031320001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81751390084 + 18271739929 = 285922^2 + 135173^2 .

It is a cyclic number.

It is not a de Polignac number, because 100023130013 - 2¹⁴ = 100023113629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100023130013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100023130063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011565006 + 50011565007.

It is an arithmetic number, because the mean of its divisors is an integer number (50011565007).

Almost surely, 2^100023130013 is an apocalyptic number.

It is an amenable number.

100023130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100023130013 is an equidigital number, since it uses as much as digits as its factorization.

100023130013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100023130013 its reverse (310031320001), we get a palindrome (410054450014).

The spelling of 100023130013 in words is "one hundred billion, twenty-three million, one hundred thirty thousand, thirteen".