310989013 has 2 divisors, whose sum is σ = 310989014. Its totient is φ = 310989012.

The previous prime is 310988987. The next prime is 310989023.

310989013 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., 172738449 + 138250564 = 13143^2 + 11758^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 310989013 - 2⁹ = 310988501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 310989013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310989023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155494506 + 155494507.

It is an arithmetic number, because the mean of its divisors is an integer number (155494507).

Almost surely, 2^310989013 is an apocalyptic number.

It is an amenable number.

310989013 is a deficient number, since it is larger than the sum of its proper divisors (1).

310989013 is an equidigital number, since it uses as much as digits as its factorization.

310989013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 310989013 is about 17634.8805779909. The cubic root of 310989013 is about 677.5089167002.

The spelling of 310989013 in words is "three hundred ten million, nine hundred eighty-nine thousand, thirteen".