13122082505333 has 32 divisors (see below), whose sum is σ = 14105424098304. Its totient is φ = 12185671680000.

The previous prime is 13122082505321. The next prime is 13122082505387. The reversal of 13122082505333 is 33350528022131.

13122082505333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13122082505333 - 2³⁰ = 13121008763509 is a prime.

It is a super-3 number, since 3×13122082505333³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122082505393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18465893 + ... + 19163333.

It is an arithmetic number, because the mean of its divisors is an integer number (440794503072).

Almost surely, 2^{13122082505333} is an apocalyptic number.

It is an amenable number.

13122082505333 is a deficient number, since it is larger than the sum of its proper divisors (983341592971).

13122082505333 is a wasteful number, since it uses less digits than its factorization.

13122082505333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697757.

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 13122082505333 in words is "thirteen trillion, one hundred twenty-two billion, eighty-two million, five hundred five thousand, three hundred thirty-three".