2102001313 has 2 divisors, whose sum is σ = 2102001314. Its totient is φ = 2102001312.

The previous prime is 2102001299. The next prime is 2102001353. The reversal of 2102001313 is 3131002012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2096907264 + 5094049 = 45792^2 + 2257^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102001313 - 2²⁵ = 2068446881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102001293 and 2102001302.

It is not a weakly prime, because it can be changed into another prime (2102001353) 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, 1051000656 + 1051000657.

It is an arithmetic number, because the mean of its divisors is an integer number (1051000657).

Almost surely, 2^2102001313 is an apocalyptic number.

It is an amenable number.

2102001313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102001313 is an equidigital number, since it uses as much as digits as its factorization.

2102001313 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2102001313 is about 45847.5878645758. The cubic root of 2102001313 is about 1280.9858357855.

Adding to 2102001313 its reverse (3131002012), we get a palindrome (5233003325).

The spelling of 2102001313 in words is "two billion, one hundred two million, one thousand, three hundred thirteen".