13033133321121 has 64 divisors (see below), whose sum is σ = 19969867104000. Its totient is φ = 8395661352960.

The previous prime is 13033133321113. The next prime is 13033133321123. The reversal of 13033133321121 is 12112333133031.

13033133321121 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 313 + 3 + 321 + 1 + 21 = 666.

It is not a de Polignac number, because 13033133321121 - 2³ = 13033133321113 is a prime.

It is a super-3 number, since 3×13033133321121³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13033133321123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81037575 + ... + 81198243.

It is an arithmetic number, because the mean of its divisors is an integer number (312029173500).

Almost surely, 2^{13033133321121} is an apocalyptic number.

It is an amenable number.

13033133321121 is a deficient number, since it is larger than the sum of its proper divisors (6936733782879).

13033133321121 is a wasteful number, since it uses less digits than its factorization.

13033133321121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161471 (or 161465 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13033133321121 its reverse (12112333133031), we get a palindrome (25145466454152).

The spelling of 13033133321121 in words is "thirteen trillion, thirty-three billion, one hundred thirty-three million, three hundred twenty-one thousand, one hundred twenty-one".