31120313312113 has 2 divisors, whose sum is σ = 31120313312114. Its totient is φ = 31120313312112.

The previous prime is 31120313312051. The next prime is 31120313312129. The reversal of 31120313312113 is 31121331302113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31119126716304 + 1186595809 = 5578452^2 + 34447^2 .

It is a cyclic number.

It is not a de Polignac number, because 31120313312113 - 2¹³ = 31120313303921 is a prime.

It is not a weakly prime, because it can be changed into another prime (31120313312173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15560156656056 + 15560156656057.

It is an arithmetic number, because the mean of its divisors is an integer number (15560156656057).

Almost surely, 2^{31120313312113} is an apocalyptic number.

It is an amenable number.

31120313312113 is a deficient number, since it is larger than the sum of its proper divisors (1).

31120313312113 is an equidigital number, since it uses as much as digits as its factorization.

31120313312113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 31120313312113 its reverse (31121331302113), we get a palindrome (62241644614226).

The spelling of 31120313312113 in words is "thirty-one trillion, one hundred twenty billion, three hundred thirteen million, three hundred twelve thousand, one hundred thirteen".