1022131113313 has 2 divisors, whose sum is σ = 1022131113314. Its totient is φ = 1022131113312.

The previous prime is 1022131113293. The next prime is 1022131113331. The reversal of 1022131113313 is 3133111312201.

Together with next prime (1022131113331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 737035986064 + 285095127249 = 858508^2 + 533943^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022131113313 - 2³³ = 1013541178721 is a prime.

It is not a weakly prime, because it can be changed into another prime (1022131113383) 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, 511065556656 + 511065556657.

It is an arithmetic number, because the mean of its divisors is an integer number (511065556657).

Almost surely, 2^{1022131113313} is an apocalyptic number.

It is an amenable number.

1022131113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022131113313 is an equidigital number, since it uses as much as digits as its factorization.

1022131113313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1022131113313 its reverse (3133111312201), we get a palindrome (4155242425514).

The spelling of 1022131113313 in words is "one trillion, twenty-two billion, one hundred thirty-one million, one hundred thirteen thousand, three hundred thirteen".