2100250013 has 2 divisors, whose sum is σ = 2100250014. Its totient is φ = 2100250012.

The previous prime is 2100250001. The next prime is 2100250039. The reversal of 2100250013 is 3100520012.

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., 1552596409 + 547653604 = 39403^2 + 23402^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100250013 - 2⁸ = 2100249757 is a prime.

It is a super-2 number, since 2×2100250013² = 8822100234213000338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2100250013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100250043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050125006 + 1050125007.

It is an arithmetic number, because the mean of its divisors is an integer number (1050125007).

Almost surely, 2^2100250013 is an apocalyptic number.

It is an amenable number.

2100250013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100250013 is an equidigital number, since it uses as much as digits as its factorization.

2100250013 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2100250013 is about 45828.4847338421. The cubic root of 2100250013 is about 1280.6299822469.

Adding to 2100250013 its reverse (3100520012), we get a palindrome (5200770025).

The spelling of 2100250013 in words is "two billion, one hundred million, two hundred fifty thousand, thirteen".