310421141124013 has 2 divisors, whose sum is σ = 310421141124014. Its totient is φ = 310421141124012.

The previous prime is 310421141123941. The next prime is 310421141124043.

310421141124013 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213737440936644 + 96683700187369 = 14619762^2 + 9832787^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 310421141124013 - 2²⁹ = 310420604253101 is a prime.

It is a super-2 number, since 2×310421141124013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310421141124043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155210570562006 + 155210570562007.

It is an arithmetic number, because the mean of its divisors is an integer number (155210570562007).

Almost surely, 2^{310421141124013} is an apocalyptic number.

It is an amenable number.

310421141124013 is a deficient number, since it is larger than the sum of its proper divisors (1).

310421141124013 is an equidigital number, since it uses as much as digits as its factorization.

310421141124013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 310421141124013 in words is "three hundred ten trillion, four hundred twenty-one billion, one hundred forty-one million, one hundred twenty-four thousand, thirteen".