31122133122113 has 12 divisors (see below), whose sum is σ = 36009079648080. Its totient is φ = 26803751012280.

The previous prime is 31122133122079. The next prime is 31122133122127.

31122133122113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31122133122113 - 2³⁴ = 31104953252929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31122133122163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6768621695 + ... + 6768626292.

It is an arithmetic number, because the mean of its divisors is an integer number (3000756637340).

Almost surely, 2^{31122133122113} is an apocalyptic number.

It is an amenable number.

31122133122113 is a deficient number, since it is larger than the sum of its proper divisors (4886946525967).

31122133122113 is a wasteful number, since it uses less digits than its factorization.

31122133122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13537248028 (or 13537248017 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

It can be divided in two parts, 3112213 and 3122113, that added together give a palindrome (6234326).

The spelling of 31122133122113 in words is "thirty-one trillion, one hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred thirteen".