13032123333313 has 16 divisors (see below), whose sum is σ = 15296631640960. Its totient is φ = 10868318591616.

The previous prime is 13032123333289. The next prime is 13032123333323. The reversal of 13032123333313 is 31333332123031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13032123333313 is a prime.

It is a super-2 number, since 2×13032123333313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13032123333323) 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 15 ways as a sum of consecutive naturals, for example, 17772970 + ... + 18491692.

It is an arithmetic number, because the mean of its divisors is an integer number (956039477560).

Almost surely, 2^{13032123333313} is an apocalyptic number.

It is an amenable number.

13032123333313 is a deficient number, since it is larger than the sum of its proper divisors (2264508307647).

13032123333313 is an equidigital number, since it uses as much as digits as its factorization.

13032123333313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788776.

The product of its (nonzero) digits is 26244, while the sum is 31.

Adding to 13032123333313 its reverse (31333332123031), we get a palindrome (44365455456344).

The spelling of 13032123333313 in words is "thirteen trillion, thirty-two billion, one hundred twenty-three million, three hundred thirty-three thousand, three hundred thirteen".