13201333233120 has 288 divisors, whose sum is σ = 45417001934304. Its totient is φ = 3491758080000.

The previous prime is 13201333233091. The next prime is 13201333233169. The reversal of 13201333233120 is 2133233310231.

13201333233120 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 13 + 332 + 3 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87031264 + ... + 87182816.

It is an arithmetic number, because the mean of its divisors is an integer number (157697923383).

Almost surely, 2^{13201333233120} is an apocalyptic number.

13201333233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13201333233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22708500967152).

13201333233120 is an abundant number, since it is smaller than the sum of its proper divisors (32215668701184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13201333233120 is a wasteful number, since it uses less digits than its factorization.

13201333233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152066 (or 152055 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13201333233120 its reverse (2133233310231), we get a palindrome (15334566543351).

The spelling of 13201333233120 in words is "thirteen trillion, two hundred one billion, three hundred thirty-three million, two hundred thirty-three thousand, one hundred twenty".