13201012322120 has 64 divisors (see below), whose sum is σ = 33957402318720. Its totient is φ = 4524469092864.

The previous prime is 13201012322033. The next prime is 13201012322167. The reversal of 13201012322120 is 2122321010231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13201012322092 and 13201012322101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7495637 + ... + 9087716.

It is an arithmetic number, because the mean of its divisors is an integer number (530584411230).

Almost surely, 2^{13201012322120} is an apocalyptic number.

13201012322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201012322120 is an abundant number, since it is smaller than the sum of its proper divisors (20756389996600).

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

13201012322120 is a wasteful number, since it uses less digits than its factorization.

13201012322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16586214 (or 16586210 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13201012322120 its reverse (2122321010231), we get a palindrome (15323333332351).

The spelling of 13201012322120 in words is "thirteen trillion, two hundred one billion, twelve million, three hundred twenty-two thousand, one hundred twenty".