31302144120313 has 24 divisors (see below), whose sum is σ = 34900221525120. Its totient is φ = 28050626868000.

The previous prime is 31302144120277. The next prime is 31302144120347.

31302144120313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31302144120313 - 2⁴¹ = 29103120864761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31302144120383) 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, 2867553 + ... + 8415886.

It is an arithmetic number, because the mean of its divisors is an integer number (1454175896880).

Almost surely, 2^{31302144120313} is an apocalyptic number.

It is an amenable number.

31302144120313 is a deficient number, since it is larger than the sum of its proper divisors (3598077404807).

31302144120313 is a wasteful number, since it uses less digits than its factorization.

31302144120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11283789 (or 11283778 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 3130214 and 4120313, that added together give a palindrome (7250527).

The spelling of 31302144120313 in words is "thirty-one trillion, three hundred two billion, one hundred forty-four million, one hundred twenty thousand, three hundred thirteen".