13331210322120 has 128 divisors (see below), whose sum is σ = 40409606160000. Its totient is φ = 3518020509696.

The previous prime is 13331210322077. The next prime is 13331210322163. The reversal of 13331210322120 is 2122301213331.

It is an interprime number because it is at equal distance from previous prime (13331210322077) and next prime (13331210322163).

It is a super-2 number, since 2×13331210322120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 145652131 + ... + 145743629.

It is an arithmetic number, because the mean of its divisors is an integer number (315700048125).

Almost surely, 2^{13331210322120} is an apocalyptic number.

13331210322120 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 13331210322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20204803080000).

13331210322120 is an abundant number, since it is smaller than the sum of its proper divisors (27078395837880).

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

13331210322120 is a wasteful number, since it uses less digits than its factorization.

13331210322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104127 (or 104123 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13331210322120 its reverse (2122301213331), we get a palindrome (15453511535451).

The spelling of 13331210322120 in words is "thirteen trillion, three hundred thirty-one billion, two hundred ten million, three hundred twenty-two thousand, one hundred twenty".