310421404124013 has 32 divisors (see below), whose sum is σ = 511969330432000. Its totient is φ = 162915954734016.

The previous prime is 310421404124009. The next prime is 310421404124077.

It is a happy number.

310421404124013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310421404124013 - 2² = 310421404124009 is a prime.

It is a super-2 number, since 2×310421404124013² (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 (310421404124003) 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 31 ways as a sum of consecutive naturals, for example, 2856917383 + ... + 2857026036.

It is an arithmetic number, because the mean of its divisors is an integer number (15999041576000).

Almost surely, 2^{310421404124013} is an apocalyptic number.

It is an amenable number.

310421404124013 is a deficient number, since it is larger than the sum of its proper divisors (201547926307987).

310421404124013 is a wasteful number, since it uses less digits than its factorization.

310421404124013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5713943641.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 31042140 and 4124013, that added together give a palindrome (35166153).

The spelling of 310421404124013 in words is "three hundred ten trillion, four hundred twenty-one billion, four hundred four million, one hundred twenty-four thousand, thirteen".