31023033122313 has 12 divisors (see below), whose sum is σ = 44889801889140. Its totient is φ = 20645674060416.

The previous prime is 31023033122269. The next prime is 31023033122317. The reversal of 31023033122313 is 31322133032013.

31023033122313 is a `hidden beast` number, since 3 + 1 + 0 + 2 + 30 + 3 + 312 + 2 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21156982507584 + 9866050614729 = 4599672^2 + 3141027^2 .

It is not a de Polignac number, because 31023033122313 - 2³⁷ = 30885594168841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31023033122317) 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, 3028996356 + ... + 3029006597.

It is an arithmetic number, because the mean of its divisors is an integer number (3740816824095).

Almost surely, 2^{31023033122313} is an apocalyptic number.

It is an amenable number.

31023033122313 is a deficient number, since it is larger than the sum of its proper divisors (13866768766827).

31023033122313 is a wasteful number, since it uses less digits than its factorization.

31023033122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6058003528 (or 6058003525 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 31023033122313 its reverse (31322133032013), we get a palindrome (62345166154326).

The spelling of 31023033122313 in words is "thirty-one trillion, twenty-three billion, thirty-three million, one hundred twenty-two thousand, three hundred thirteen".