31120121310313 has 12 divisors (see below), whose sum is σ = 36286945489092. Its totient is φ = 26611030081440.

The previous prime is 31120121310203. The next prime is 31120121310323. The reversal of 31120121310313 is 31301312102113.

It can be written as a sum of positive squares in 2 ways, for example, as 1675140009984 + 29444981300329 = 1294272^2 + 5426323^2 .

It is a de Polignac number, because none of the positive numbers 2^k-31120121310313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31120121310323) 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, 754260270 + ... + 754301527.

It is an arithmetic number, because the mean of its divisors is an integer number (3023912124091).

Almost surely, 2^{31120121310313} is an apocalyptic number.

It is an amenable number.

31120121310313 is a deficient number, since it is larger than the sum of its proper divisors (5166824178779).

31120121310313 is a wasteful number, since it uses less digits than its factorization.

31120121310313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508562232 (or 1508562225 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 31120121310313 its reverse (31301312102113), we get a palindrome (62421433412426).

The spelling of 31120121310313 in words is "thirty-one trillion, one hundred twenty billion, one hundred twenty-one million, three hundred ten thousand, three hundred thirteen".