31302232321013 has 32 divisors (see below), whose sum is σ = 33792208495200. Its totient is φ = 28890612596736.

The previous prime is 31302232321007. The next prime is 31302232321021. The reversal of 31302232321013 is 31012323220313.

It can be written as a sum of positive squares in 16 ways, for example, as 381259321444 + 30920972999569 = 617462^2 + 5560663^2 .

It is not a de Polignac number, because 31302232321013 - 2²⁰ = 31302231272437 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 (31302232323013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106909145 + ... + 107201537.

It is an arithmetic number, because the mean of its divisors is an integer number (1056006515475).

Almost surely, 2^{31302232321013} is an apocalyptic number.

It is an amenable number.

31302232321013 is a deficient number, since it is larger than the sum of its proper divisors (2489976174187).

31302232321013 is a wasteful number, since it uses less digits than its factorization.

31302232321013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293081.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 31302232321013 its reverse (31012323220313), we get a palindrome (62314555541326).

The spelling of 31302232321013 in words is "thirty-one trillion, three hundred two billion, two hundred thirty-two million, three hundred twenty-one thousand, thirteen".