13310120331000 has 384 divisors, whose sum is σ = 47701755316800. Its totient is φ = 3338006630400.

The previous prime is 13310120330917. The next prime is 13310120331007. The reversal of 13310120331000 is 13302101331.

It is a happy number.

13310120331000 is a `hidden beast` number, since 1 + 3 + 310 + 1 + 20 + 331 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×13310120331000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310120331007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23142924 + ... + 23711076.

Almost surely, 2^{13310120331000} is an apocalyptic number.

13310120331000 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 13310120331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23850877658400).

13310120331000 is an abundant number, since it is smaller than the sum of its proper divisors (34391634985800).

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

13310120331000 is a wasteful number, since it uses less digits than its factorization.

13310120331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568336 (or 568319 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13310120331000 its reverse (13302101331), we get a palindrome (13323422432331).

The spelling of 13310120331000 in words is "thirteen trillion, three hundred ten billion, one hundred twenty million, three hundred thirty-one thousand".