3121001313311 has 16 divisors (see below), whose sum is σ = 3624356275200. Its totient is φ = 2632356350880.

The previous prime is 3121001313293. The next prime is 3121001313329. The reversal of 3121001313311 is 1133131001213.

It is an interprime number because it is at equal distance from previous prime (3121001313293) and next prime (3121001313329).

It is a cyclic number.

It is not a de Polignac number, because 3121001313311 - 2¹⁴ = 3121001296927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121001313211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13871255 + ... + 14094456.

It is an arithmetic number, because the mean of its divisors is an integer number (226522267200).

Almost surely, 2^{3121001313311} is an apocalyptic number.

3121001313311 is a deficient number, since it is larger than the sum of its proper divisors (503354961889).

3121001313311 is a wasteful number, since it uses less digits than its factorization.

3121001313311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27965974.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 3121001313311 its reverse (1133131001213), we get a palindrome (4254132314524).

The spelling of 3121001313311 in words is "three trillion, one hundred twenty-one billion, one million, three hundred thirteen thousand, three hundred eleven".