13331011120 has 160 divisors (see below), whose sum is σ = 36100546560. Its totient is φ = 4483799040.

The previous prime is 13331011093. The next prime is 13331011121. The reversal of 13331011120 is 2111013331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13331011094 and 13331011103.

It is not an unprimeable number, because it can be changed into a prime (13331011121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9263361 + ... + 9264799.

It is an arithmetic number, because the mean of its divisors is an integer number (225628416).

Almost surely, 2^13331011120 is an apocalyptic number.

13331011120 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 13331011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18050273280).

13331011120 is an abundant number, since it is smaller than the sum of its proper divisors (22769535440).

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

13331011120 is a wasteful number, since it uses less digits than its factorization.

13331011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13331011120 its reverse (2111013331), we get a palindrome (15442024451).

The spelling of 13331011120 in words is "thirteen billion, three hundred thirty-one million, eleven thousand, one hundred twenty".