2102211231313 has 2 divisors, whose sum is σ = 2102211231314. Its totient is φ = 2102211231312.

The previous prime is 2102211231227. The next prime is 2102211231359. The reversal of 2102211231313 is 3131321122012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1081884978769 + 1020326252544 = 1040137^2 + 1010112^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102211231313 - 2³³ = 2093621296721 is a prime.

It is a super-2 number, since 2×2102211231313² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2102211231413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051105615656 + 1051105615657.

It is an arithmetic number, because the mean of its divisors is an integer number (1051105615657).

Almost surely, 2^{2102211231313} is an apocalyptic number.

It is an amenable number.

2102211231313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102211231313 is an equidigital number, since it uses as much as digits as its factorization.

2102211231313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2102211231313 its reverse (3131321122012), we get a palindrome (5233532353325).

The spelling of 2102211231313 in words is "two trillion, one hundred two billion, two hundred eleven million, two hundred thirty-one thousand, three hundred thirteen".