311013101310113 has 8 divisors (see below), whose sum is σ = 321050239992576. Its totient is φ = 300976241252400.

The previous prime is 311013101310097. The next prime is 311013101310157.

It is a happy number.

311013101310113 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 311013101310113 - 2⁴ = 311013101310097 is a prime.

It is a super-2 number, since 2×311013101310113² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (311013101340113) 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, 67386503 + ... + 71853788.

It is an arithmetic number, because the mean of its divisors is an integer number (40131279999072).

Almost surely, 2^{311013101310113} is an apocalyptic number.

It is an amenable number.

311013101310113 is a deficient number, since it is larger than the sum of its proper divisors (10037138682463).

311013101310113 is a wasteful number, since it uses less digits than its factorization.

311013101310113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139312375.

The product of its (nonzero) digits is 81, while the sum is 20.

It can be divided in two parts, 31101310 and 1310113, that added together give a palindrome (32411423).

The spelling of 311013101310113 in words is "three hundred eleven trillion, thirteen billion, one hundred one million, three hundred ten thousand, one hundred thirteen".