1233320305013 has 8 divisors (see below), whose sum is σ = 1247489913240. Its totient is φ = 1219157632000.

The previous prime is 1233320305003. The next prime is 1233320305069. The reversal of 1233320305013 is 3105030233321.

It can be written as a sum of positive squares in 4 ways, for example, as 122081757604 + 1111238547409 = 349402^2 + 1054153^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1233320305013 - 2¹⁰ = 1233320303989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233320305003) 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 7 ways as a sum of consecutive naturals, for example, 1375670 + ... + 2087847.

It is an arithmetic number, because the mean of its divisors is an integer number (155936239155).

Almost surely, 2^{1233320305013} is an apocalyptic number.

It is an amenable number.

1233320305013 is a deficient number, since it is larger than the sum of its proper divisors (14169608227).

1233320305013 is an equidigital number, since it uses as much as digits as its factorization.

1233320305013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467607.

The product of its (nonzero) digits is 4860, while the sum is 26.

Adding to 1233320305013 its reverse (3105030233321), we get a palindrome (4338350538334).

The spelling of 1233320305013 in words is "one trillion, two hundred thirty-three billion, three hundred twenty million, three hundred five thousand, thirteen".