310214121412013 has 16 divisors (see below), whose sum is σ = 394118188993536. Its totient is φ = 237526587112320.

The previous prime is 310214121411959. The next prime is 310214121412021.

It is a happy number.

310214121412013 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 310214121412013 - 2³⁸ = 309939243505069 is a prime.

It is a super-2 number, since 2×310214121412013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310214121412033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54983003456 + ... + 54983009097.

It is an arithmetic number, because the mean of its divisors is an integer number (24632386812096).

Almost surely, 2^{310214121412013} is an apocalyptic number.

It is an amenable number.

310214121412013 is a deficient number, since it is larger than the sum of its proper divisors (83904067581523).

310214121412013 is a wasteful number, since it uses less digits than its factorization.

310214121412013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109966012604.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 310214121412013 in words is "three hundred ten trillion, two hundred fourteen billion, one hundred twenty-one million, four hundred twelve thousand, thirteen".