13200133300333 has 48 divisors (see below), whose sum is σ = 15760334453760. Its totient is φ = 11019562251264.

The previous prime is 13200133300331. The next prime is 13200133300337. The reversal of 13200133300333 is 33300333100231.

It is not a de Polignac number, because 13200133300333 - 2¹ = 13200133300331 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13200133300298 and 13200133300307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200133300331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 933326260 + ... + 933340402.

It is an arithmetic number, because the mean of its divisors is an integer number (328340301120).

Almost surely, 2^{13200133300333} is an apocalyptic number.

It is an amenable number.

13200133300333 is a deficient number, since it is larger than the sum of its proper divisors (2560201153427).

13200133300333 is a wasteful number, since it uses less digits than its factorization.

13200133300333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17186 (or 17179 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 25.

Adding to 13200133300333 its reverse (33300333100231), we get a palindrome (46500466400564).

The spelling of 13200133300333 in words is "thirteen trillion, two hundred billion, one hundred thirty-three million, three hundred thousand, three hundred thirty-three".