13002220123033 has 8 divisors (see below), whose sum is σ = 13106987795720. Its totient is φ = 12897814343040.

The previous prime is 13002220122989. The next prime is 13002220123129. The reversal of 13002220123033 is 33032102220031.

It can be written as a sum of positive squares in 4 ways, for example, as 435457451664 + 12566762671369 = 659892^2 + 3544963^2 .

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 13002220123033 - 2¹³ = 13002220114841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13002220122995 and 13002220123013.

It is not an unprimeable number, because it can be changed into a prime (13002220123133) 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, 90401028 + ... + 90544741.

It is an arithmetic number, because the mean of its divisors is an integer number (1638373474465).

Almost surely, 2^{13002220123033} is an apocalyptic number.

It is an amenable number.

13002220123033 is a deficient number, since it is larger than the sum of its proper divisors (104767672687).

13002220123033 is a wasteful number, since it uses less digits than its factorization.

13002220123033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180946347.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13002220123033 its reverse (33032102220031), we get a palindrome (46034322343064).

The spelling of 13002220123033 in words is "thirteen trillion, two billion, two hundred twenty million, one hundred twenty-three thousand, thirty-three".