1331000022113 has 2 divisors, whose sum is σ = 1331000022114. Its totient is φ = 1331000022112.

The previous prime is 1331000022097. The next prime is 1331000022119. The reversal of 1331000022113 is 3112200001331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 869533870144 + 461466151969 = 932488^2 + 679313^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331000022113 - 2⁴ = 1331000022097 is a prime.

It is a super-2 number, since 2×1331000022113² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331000022091 and 1331000022100.

It is not a weakly prime, because it can be changed into another prime (1331000022119) 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, 665500011056 + 665500011057.

It is an arithmetic number, because the mean of its divisors is an integer number (665500011057).

Almost surely, 2^{1331000022113} is an apocalyptic number.

It is an amenable number.

1331000022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331000022113 is an equidigital number, since it uses as much as digits as its factorization.

1331000022113 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 17.

Adding to 1331000022113 its reverse (3112200001331), we get a palindrome (4443200023444).

The spelling of 1331000022113 in words is "one trillion, three hundred thirty-one billion, twenty-two thousand, one hundred thirteen".