310003312121 has 2 divisors, whose sum is σ = 310003312122. Its totient is φ = 310003312120.

The previous prime is 310003312109. The next prime is 310003312139. The reversal of 310003312121 is 121213300013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 307486885225 + 2516426896 = 554515^2 + 50164^2 .

It is a cyclic number.

It is not a de Polignac number, because 310003312121 - 2¹⁴ = 310003295737 is a prime.

It is a super-2 number, since 2×310003312121² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 310003312121.

It is not a weakly prime, because it can be changed into another prime (310003312621) 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, 155001656060 + 155001656061.

It is an arithmetic number, because the mean of its divisors is an integer number (155001656061).

Almost surely, 2^310003312121 is an apocalyptic number.

It is an amenable number.

310003312121 is a deficient number, since it is larger than the sum of its proper divisors (1).

310003312121 is an equidigital number, since it uses as much as digits as its factorization.

310003312121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 310003312121 its reverse (121213300013), we get a palindrome (431216612134).

The spelling of 310003312121 in words is "three hundred ten billion, three million, three hundred twelve thousand, one hundred twenty-one".