100524013 has 2 divisors, whose sum is σ = 100524014. Its totient is φ = 100524012.

The previous prime is 100523977. The next prime is 100524037. The reversal of 100524013 is 310425001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92102409 + 8421604 = 9597^2 + 2902^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100524013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100524113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50262006 + 50262007.

It is an arithmetic number, because the mean of its divisors is an integer number (50262007).

Almost surely, 2^100524013 is an apocalyptic number.

It is an amenable number.

100524013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100524013 is an equidigital number, since it uses as much as digits as its factorization.

100524013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 100524013 is about 10026.1664159339. The cubic root of 100524013 is about 464.9682222859.

Adding to 100524013 its reverse (310425001), we get a palindrome (410949014).

The spelling of 100524013 in words is "one hundred million, five hundred twenty-four thousand, thirteen".