310002202200013 has 2 divisors, whose sum is σ = 310002202200014. Its totient is φ = 310002202200012.

The previous prime is 310002202200011. The next prime is 310002202200029.

310002202200013 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (310002202200029) can be obtained adding 310002202200013 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218069811892969 + 91932390307044 = 14767187^2 + 9588138^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 310002202200013 - 2¹ = 310002202200011 is a prime.

It is a super-2 number, since 2×310002202200013² (a number of 30 digits) contains 22 as substring.

Together with 310002202200011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 310002202200013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310002202200011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155001101100006 + 155001101100007.

It is an arithmetic number, because the mean of its divisors is an integer number (155001101100007).

Almost surely, 2^{310002202200013} is an apocalyptic number.

It is an amenable number.

310002202200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

310002202200013 is an equidigital number, since it uses as much as digits as its factorization.

310002202200013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 31000220 and 2200013, that added together give a palindrome (33200233).

The spelling of 310002202200013 in words is "three hundred ten trillion, two billion, two hundred two million, two hundred thousand, thirteen".