13022331003113 has 2 divisors, whose sum is σ = 13022331003114. Its totient is φ = 13022331003112.

The previous prime is 13022331003091. The next prime is 13022331003131. The reversal of 13022331003113 is 31130013322031.

Together with next prime (13022331003131) 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., 10694973280489 + 2327357722624 = 3270317^2 + 1525568^2 .

It is a cyclic number.

It is not a de Polignac number, because 13022331003113 - 2¹⁴ = 13022330986729 is a prime.

It is a super-2 number, since 2×13022331003113² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13022331003133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511165501556 + 6511165501557.

It is an arithmetic number, because the mean of its divisors is an integer number (6511165501557).

Almost surely, 2^{13022331003113} is an apocalyptic number.

It is an amenable number.

13022331003113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022331003113 is an equidigital number, since it uses as much as digits as its factorization.

13022331003113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13022331003113 its reverse (31130013322031), we get a palindrome (44152344325144).

The spelling of 13022331003113 in words is "thirteen trillion, twenty-two billion, three hundred thirty-one million, three thousand, one hundred thirteen".