2102131313 has 2 divisors, whose sum is σ = 2102131314. Its totient is φ = 2102131312.

The previous prime is 2102131271. The next prime is 2102131319. The reversal of 2102131313 is 3131312012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1686909184 + 415222129 = 41072^2 + 20377^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102131313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102131291 and 2102131300.

It is not a weakly prime, because it can be changed into another prime (2102131319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051065656 + 1051065657.

It is an arithmetic number, because the mean of its divisors is an integer number (1051065657).

Almost surely, 2^2102131313 is an apocalyptic number.

It is an amenable number.

2102131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102131313 is an equidigital number, since it uses as much as digits as its factorization.

2102131313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2102131313 is about 45849.0055835456. The cubic root of 2102131313 is about 1281.0122431153.

Adding to 2102131313 its reverse (3131312012), we get a palindrome (5233443325).

The spelling of 2102131313 in words is "two billion, one hundred two million, one hundred thirty-one thousand, three hundred thirteen".