1233331313 has 2 divisors, whose sum is σ = 1233331314. Its totient is φ = 1233331312.

The previous prime is 1233331303. The next prime is 1233331321. The reversal of 1233331313 is 3131333321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1225840144 + 7491169 = 35012^2 + 2737^2 .

It is a cyclic number.

It is not a de Polignac number, because 1233331313 - 2¹⁰ = 1233330289 is a prime.

It is a super-2 number, since 2×1233331313² = 3042212255252607938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1233331303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 616665656 + 616665657.

It is an arithmetic number, because the mean of its divisors is an integer number (616665657).

Almost surely, 2^1233331313 is an apocalyptic number.

It is an amenable number.

1233331313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1233331313 is an equidigital number, since it uses as much as digits as its factorization.

1233331313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1458, while the sum is 23.

The square root of 1233331313 is about 35118.8170785976. The cubic root of 1233331313 is about 1072.4076893978.

Adding to 1233331313 its reverse (3131333321), we get a palindrome (4364664634).

The spelling of 1233331313 in words is "one billion, two hundred thirty-three million, three hundred thirty-one thousand, three hundred thirteen".