3102121221313 has 2 divisors, whose sum is σ = 3102121221314. Its totient is φ = 3102121221312.

The previous prime is 3102121221299. The next prime is 3102121221337. The reversal of 3102121221313 is 3131221212013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1734678653184 + 1367442568129 = 1317072^2 + 1169377^2 .

It is an emirp because it is prime and its reverse (3131221212013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3102121221313 - 2⁵ = 3102121221281 is a prime.

It is a super-3 number, since 3×3102121221313³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (3102121222313) 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, 1551060610656 + 1551060610657.

It is an arithmetic number, because the mean of its divisors is an integer number (1551060610657).

Almost surely, 2^{3102121221313} is an apocalyptic number.

It is an amenable number.

3102121221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3102121221313 is an equidigital number, since it uses as much as digits as its factorization.

3102121221313 is an odious number, because the sum of its binary digits is odd.

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

Adding to 3102121221313 its reverse (3131221212013), we get a palindrome (6233342433326).

The spelling of 3102121221313 in words is "three trillion, one hundred two billion, one hundred twenty-one million, two hundred twenty-one thousand, three hundred thirteen".