10311130231121 has 2 divisors, whose sum is σ = 10311130231122. Its totient is φ = 10311130231120.

The previous prime is 10311130230983. The next prime is 10311130231147. The reversal of 10311130231121 is 12113203111301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10183527674896 + 127602556225 = 3191164^2 + 357215^2 .

It is a cyclic number.

It is not a de Polignac number, because 10311130231121 - 2¹⁸ = 10311129968977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10311130231093 and 10311130231102.

It is not a weakly prime, because it can be changed into another prime (10311130231621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5155565115560 + 5155565115561.

It is an arithmetic number, because the mean of its divisors is an integer number (5155565115561).

Almost surely, 2^{10311130231121} is an apocalyptic number.

It is an amenable number.

10311130231121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10311130231121 is an equidigital number, since it uses as much as digits as its factorization.

10311130231121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 10311130231121 its reverse (12113203111301), we get a palindrome (22424333342422).

The spelling of 10311130231121 in words is "ten trillion, three hundred eleven billion, one hundred thirty million, two hundred thirty-one thousand, one hundred twenty-one".