13020133120033 has 4 divisors (see below), whose sum is σ = 14021681821588. Its totient is φ = 12018584418480.

The previous prime is 13020133120019. The next prime is 13020133120087. The reversal of 13020133120033 is 33002133102031.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2231746173409 + 10788386946624 = 1493903^2 + 3284568^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13020133120033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13020133119986 and 13020133120013.

It is not an unprimeable number, because it can be changed into a prime (13020133120633) 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 3 ways as a sum of consecutive naturals, for example, 500774350758 + ... + 500774350783.

It is an arithmetic number, because the mean of its divisors is an integer number (3505420455397).

Almost surely, 2^{13020133120033} is an apocalyptic number.

13020133120033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13020133120033 is a deficient number, since it is larger than the sum of its proper divisors (1001548701555).

13020133120033 is a wasteful number, since it uses less digits than its factorization.

13020133120033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001548701554.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13020133120033 its reverse (33002133102031), we get a palindrome (46022266222064).

The spelling of 13020133120033 in words is "thirteen trillion, twenty billion, one hundred thirty-three million, one hundred twenty thousand, thirty-three".