2100313337 has 2 divisors, whose sum is σ = 2100313338. Its totient is φ = 2100313336.

The previous prime is 2100313279. The next prime is 2100313349. The reversal of 2100313337 is 7333130012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1966124281 + 134189056 = 44341^2 + 11584^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100313337 - 2¹⁸ = 2100051193 is a prime.

It is a super-2 number, since 2×2100313337² = 8822632227160151138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2100313367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050156668 + 1050156669.

It is an arithmetic number, because the mean of its divisors is an integer number (1050156669).

Almost surely, 2^2100313337 is an apocalyptic number.

It is an amenable number.

2100313337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100313337 is an equidigital number, since it uses as much as digits as its factorization.

2100313337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 2100313337 is about 45829.1756089939. The cubic root of 2100313337 is about 1280.6428527460.

Adding to 2100313337 its reverse (7333130012), we get a palindrome (9433443349).

The spelling of 2100313337 in words is "two billion, one hundred million, three hundred thirteen thousand, three hundred thirty-seven".