1233345413313 has 12 divisors (see below), whose sum is σ = 1918537309780. Its totient is φ = 758981792736.

The previous prime is 1233345413297. The next prime is 1233345413323. The reversal of 1233345413313 is 3133145433321.

1233345413313 is a `hidden beast` number, since 1 + 2 + 3 + 334 + 5 + 4 + 1 + 3 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 197933340609 + 1035412072704 = 444897^2 + 1017552^2 .

It is not a de Polignac number, because 1233345413313 - 2⁴ = 1233345413297 is a prime.

It is a super-2 number, since 2×1233345413313² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1233345413323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5270706778 + ... + 5270707011.

Almost surely, 2^{1233345413313} is an apocalyptic number.

1233345413313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1233345413313 is a deficient number, since it is larger than the sum of its proper divisors (685191896467).

1233345413313 is a wasteful number, since it uses less digits than its factorization.

1233345413313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10541413808 (or 10541413805 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The spelling of 1233345413313 in words is "one trillion, two hundred thirty-three billion, three hundred forty-five million, four hundred thirteen thousand, three hundred thirteen".