1031313212101 has 2 divisors, whose sum is σ = 1031313212102. Its totient is φ = 1031313212100.

The previous prime is 1031313212087. The next prime is 1031313212159. The reversal of 1031313212101 is 1012123131301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 970961919876 + 60351292225 = 985374^2 + 245665^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031313212101 - 2³⁹ = 481557398213 is a prime.

It is a super-4 number, since 4×1031313212101⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1031313212161) 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, 515656606050 + 515656606051.

It is an arithmetic number, because the mean of its divisors is an integer number (515656606051).

Almost surely, 2^{1031313212101} is an apocalyptic number.

It is an amenable number.

1031313212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031313212101 is an equidigital number, since it uses as much as digits as its factorization.

1031313212101 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 19.

Adding to 1031313212101 its reverse (1012123131301), we get a palindrome (2043436343402).

The spelling of 1031313212101 in words is "one trillion, thirty-one billion, three hundred thirteen million, two hundred twelve thousand, one hundred one".