2100312013 has 2 divisors, whose sum is σ = 2100312014. Its totient is φ = 2100312012.

The previous prime is 2100311977. The next prime is 2100312023. The reversal of 2100312013 is 3102130012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1299025764 + 801286249 = 36042^2 + 28307^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100312013 is a prime.

It is a super-2 number, since 2×2100312013² = 8822621103904224338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100311984 and 2100312002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100312023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050156006 + 1050156007.

It is an arithmetic number, because the mean of its divisors is an integer number (1050156007).

Almost surely, 2^2100312013 is an apocalyptic number.

It is an amenable number.

2100312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100312013 is an equidigital number, since it uses as much as digits as its factorization.

2100312013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2100312013 is about 45829.1611640449. The cubic root of 2100312013 is about 1280.6425836478.

Adding to 2100312013 its reverse (3102130012), we get a palindrome (5202442025).

The spelling of 2100312013 in words is "two billion, one hundred million, three hundred twelve thousand, thirteen".