1031220310313 has 2 divisors, whose sum is σ = 1031220310314. Its totient is φ = 1031220310312.

The previous prime is 1031220310297. The next prime is 1031220310327. The reversal of 1031220310313 is 3130130221301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 653078945689 + 378141364624 = 808133^2 + 614932^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031220310313 - 2⁴ = 1031220310297 is a prime.

It is a super-4 number, since 4×1031220310313⁴ (a number of 49 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (1031220315313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515610155156 + 515610155157.

It is an arithmetic number, because the mean of its divisors is an integer number (515610155157).

Almost surely, 2^{1031220310313} is an apocalyptic number.

It is an amenable number.

1031220310313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031220310313 is an equidigital number, since it uses as much as digits as its factorization.

1031220310313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1031220310313 its reverse (3130130221301), we get a palindrome (4161350531614).

The spelling of 1031220310313 in words is "one trillion, thirty-one billion, two hundred twenty million, three hundred ten thousand, three hundred thirteen".