100023201212013 has 12 divisors (see below), whose sum is σ = 146846448410428. Its totient is φ = 65588984400960.

The previous prime is 100023201212003. The next prime is 100023201212023. The reversal of 100023201212013 is 310212102320001.

It is an interprime number because it is at equal distance from previous prime (100023201212003) and next prime (100023201212023).

It can be written as a sum of positive squares in 2 ways, for example, as 8215893530244 + 91807307681769 = 2866338^2 + 9581613^2 .

It is not a de Polignac number, because 100023201212013 - 2⁸ = 100023201211757 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023201212003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91095811120 + ... + 91095812217.

Almost surely, 2^{100023201212013} is an apocalyptic number.

It is an amenable number.

100023201212013 is a deficient number, since it is larger than the sum of its proper divisors (46823247198415).

100023201212013 is a wasteful number, since it uses less digits than its factorization.

100023201212013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182191623404 (or 182191623401 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100023201212013 its reverse (310212102320001), we get a palindrome (410235303532014).

The spelling of 100023201212013 in words is "one hundred trillion, twenty-three billion, two hundred one million, two hundred twelve thousand, thirteen".