100252013 has 2 divisors, whose sum is σ = 100252014. Its totient is φ = 100252012.

The previous prime is 100252007. The next prime is 100252039. The reversal of 100252013 is 310252001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87198244 + 13053769 = 9338^2 + 3613^2 .

It is a cyclic number.

It is not a de Polignac number, because 100252013 - 2⁴ = 100251997 is a prime.

It is a super-2 number, since 2×100252013² = 20100932221104338, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100252813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50126006 + 50126007.

It is an arithmetic number, because the mean of its divisors is an integer number (50126007).

Almost surely, 2^100252013 is an apocalyptic number.

It is an amenable number.

100252013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100252013 is an equidigital number, since it uses as much as digits as its factorization.

100252013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 100252013 is about 10012.5927211687. The cubic root of 100252013 is about 464.5484698504.

The spelling of 100252013 in words is "one hundred million, two hundred fifty-two thousand, thirteen".