31002122120013 has 24 divisors (see below), whose sum is σ = 48856954779360. Its totient is φ = 18787193388960.

The previous prime is 31002122120009. The next prime is 31002122120029.

31002122120013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31002122120013 - 2² = 31002122120009 is a prime.

It is a super-2 number, since 2×31002122120013² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002122120033) 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, 15480903 + ... + 17368436.

It is an arithmetic number, because the mean of its divisors is an integer number (2035706449140).

Almost surely, 2^{31002122120013} is an apocalyptic number.

31002122120013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31002122120013 is a deficient number, since it is larger than the sum of its proper divisors (17854832659347).

31002122120013 is a wasteful number, since it uses less digits than its factorization.

31002122120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32858889 (or 32858886 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 3100212 and 2120013, that added together give a palindrome (5220225).

The spelling of 31002122120013 in words is "thirty-one trillion, two billion, one hundred twenty-two million, one hundred twenty thousand, thirteen".