310412202214013 has 8 divisors (see below), whose sum is σ = 318252480723576. Its totient is φ = 302584745094400.

The previous prime is 310412202213991. The next prime is 310412202214091.

It is a happy number.

310412202214013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 60169606206649 + 250242596007364 = 7756907^2 + 15819058^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-310412202214013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310412202114013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3205298456 + ... + 3205395297.

It is an arithmetic number, because the mean of its divisors is an integer number (39781560090447).

Almost surely, 2^{310412202214013} is an apocalyptic number.

It is an amenable number.

310412202214013 is a deficient number, since it is larger than the sum of its proper divisors (7840278509563).

310412202214013 is a wasteful number, since it uses less digits than its factorization.

310412202214013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410694975.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 31041220 and 2214013, that added together give a palindrome (33255233).

The spelling of 310412202214013 in words is "three hundred ten trillion, four hundred twelve billion, two hundred two million, two hundred fourteen thousand, thirteen".