1331023013233 has 2 divisors, whose sum is σ = 1331023013234. Its totient is φ = 1331023013232.

The previous prime is 1331023013231. The next prime is 1331023013263. The reversal of 1331023013233 is 3323103201331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1177771903504 + 153251109729 = 1085252^2 + 391473^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331023013233 - 2¹ = 1331023013231 is a prime.

It is a super-2 number, since 2×1331023013233² (a number of 25 digits) contains 22 as substring.

Together with 1331023013231, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1331023013198 and 1331023013207.

It is not a weakly prime, because it can be changed into another prime (1331023013231) 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, 665511506616 + 665511506617.

It is an arithmetic number, because the mean of its divisors is an integer number (665511506617).

Almost surely, 2^{1331023013233} is an apocalyptic number.

It is an amenable number.

1331023013233 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331023013233 is an equidigital number, since it uses as much as digits as its factorization.

1331023013233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 1331023013233 its reverse (3323103201331), we get a palindrome (4654126214564).

The spelling of 1331023013233 in words is "one trillion, three hundred thirty-one billion, twenty-three million, thirteen thousand, two hundred thirty-three".