31120113525121 has 2 divisors, whose sum is σ = 31120113525122. Its totient is φ = 31120113525120.

The previous prime is 31120113525113. The next prime is 31120113525157. The reversal of 31120113525121 is 12152531102113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28109666441025 + 3010447084096 = 5301855^2 + 1735064^2 .

It is a cyclic number.

It is not a de Polignac number, because 31120113525121 - 2³ = 31120113525113 is a prime.

It is a super-2 number, since 2×31120113525121² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31120113525121.

It is not a weakly prime, because it can be changed into another prime (31120113525101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15560056762560 + 15560056762561.

It is an arithmetic number, because the mean of its divisors is an integer number (15560056762561).

Almost surely, 2^{31120113525121} is an apocalyptic number.

It is an amenable number.

31120113525121 is a deficient number, since it is larger than the sum of its proper divisors (1).

31120113525121 is an equidigital number, since it uses as much as digits as its factorization.

31120113525121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 28.

Adding to 31120113525121 its reverse (12152531102113), we get a palindrome (43272644627234).

The spelling of 31120113525121 in words is "thirty-one trillion, one hundred twenty billion, one hundred thirteen million, five hundred twenty-five thousand, one hundred twenty-one".