310101000101013 has 24 divisors (see below), whose sum is σ = 454476993362784. Its totient is φ = 187938386326240.

The previous prime is 310101000100999. The next prime is 310101000101017.

310101000101013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310101000101013 - 2⁵ = 310101000100981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 310101000101013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310101000101017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39361006 + ... + 46577792.

It is an arithmetic number, because the mean of its divisors is an integer number (18936541390116).

Almost surely, 2^{310101000101013} is an apocalyptic number.

310101000101013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

310101000101013 is a deficient number, since it is larger than the sum of its proper divisors (144375993261771).

310101000101013 is a wasteful number, since it uses less digits than its factorization.

310101000101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7335185 (or 7335174 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

It can be divided in two parts, 310101000 and 101013, that added together give a palindrome (310202013).

The spelling of 310101000101013 in words is "three hundred ten trillion, one hundred one billion, one hundred one thousand, thirteen".