1233413205345 has 12 divisors (see below), whose sum is σ = 2137916222676. Its totient is φ = 657820376160.

The previous prime is 1233413205341. The next prime is 1233413205347. The reversal of 1233413205345 is 5435023143321.

1233413205345 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 413 + 205 + 34 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 805018083984 + 428395121361 = 897228^2 + 654519^2 .

It is not a de Polignac number, because 1233413205345 - 2² = 1233413205341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1233413205341) 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 in 11 ways as a sum of consecutive naturals, for example, 13704591126 + ... + 13704591215.

It is an arithmetic number, because the mean of its divisors is an integer number (178159685223).

Almost surely, 2^{1233413205345} is an apocalyptic number.

1233413205345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1233413205345 is a deficient number, since it is larger than the sum of its proper divisors (904503017331).

1233413205345 is a wasteful number, since it uses less digits than its factorization.

1233413205345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27409182352 (or 27409182349 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 1233413205345 its reverse (5435023143321), we get a palindrome (6668436348666).

The spelling of 1233413205345 in words is "one trillion, two hundred thirty-three billion, four hundred thirteen million, two hundred five thousand, three hundred forty-five".