31311122121053 has 2 divisors, whose sum is σ = 31311122121054. Its totient is φ = 31311122121052.

The previous prime is 31311122121023. The next prime is 31311122121121. The reversal of 31311122121053 is 35012122111313.

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., 31149547867684 + 161574253369 = 5581178^2 + 401963^2 .

It is a cyclic number.

It is not a de Polignac number, because 31311122121053 - 2⁸ = 31311122120797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31311122121023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15655561060526 + 15655561060527.

It is an arithmetic number, because the mean of its divisors is an integer number (15655561060527).

Almost surely, 2^{31311122121053} is an apocalyptic number.

It is an amenable number.

31311122121053 is a deficient number, since it is larger than the sum of its proper divisors (1).

31311122121053 is an equidigital number, since it uses as much as digits as its factorization.

31311122121053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 31311122121053 its reverse (35012122111313), we get a palindrome (66323244232366).

The spelling of 31311122121053 in words is "thirty-one trillion, three hundred eleven billion, one hundred twenty-two million, one hundred twenty-one thousand, fifty-three".