310000113013 has 4 divisors (see below), whose sum is σ = 311152530060. Its totient is φ = 308847695968.

The previous prime is 310000113011. The next prime is 310000113019. The reversal of 310000113013 is 310311000013.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310311000013 = 7 ⋅44330142859.

It can be written as a sum of positive squares in 2 ways, for example, as 26883537444 + 283116575569 = 163962^2 + 532087^2 .

It is a cyclic number.

It is not a de Polignac number, because 310000113013 - 2¹ = 310000113011 is a prime.

It is a super-3 number, since 3×310000113013³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 310000112984 and 310000113002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310000113011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 576208120 + ... + 576208657.

It is an arithmetic number, because the mean of its divisors is an integer number (77788132515).

Almost surely, 2^310000113013 is an apocalyptic number.

It is an amenable number.

310000113013 is a deficient number, since it is larger than the sum of its proper divisors (1152417047).

310000113013 is a wasteful number, since it uses less digits than its factorization.

310000113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152417046.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 310000113013 its reverse (310311000013), we get a palindrome (620311113026).

The spelling of 310000113013 in words is "three hundred ten billion, one hundred thirteen thousand, thirteen".