1233312303313 has 2 divisors, whose sum is σ = 1233312303314. Its totient is φ = 1233312303312.

The previous prime is 1233312303263. The next prime is 1233312303331. The reversal of 1233312303313 is 3133032133321.

Together with next prime (1233312303331) 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., 1227025874944 + 6286428369 = 1107712^2 + 79287^2 .

It is a cyclic number.

It is not a de Polignac number, because 1233312303313 - 2¹⁷ = 1233312172241 is a prime.

It is not a weakly prime, because it can be changed into another prime (1233312303383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 616656151656 + 616656151657.

It is an arithmetic number, because the mean of its divisors is an integer number (616656151657).

Almost surely, 2^{1233312303313} is an apocalyptic number.

It is an amenable number.

1233312303313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1233312303313 is an equidigital number, since it uses as much as digits as its factorization.

1233312303313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 1233312303313 its reverse (3133032133321), we get a palindrome (4366344436634).

The spelling of 1233312303313 in words is "one trillion, two hundred thirty-three billion, three hundred twelve million, three hundred three thousand, three hundred thirteen".