13311023120 has 80 divisors (see below), whose sum is σ = 32790566448. Its totient is φ = 5007851520.

The previous prime is 13311023119. The next prime is 13311023123. The reversal of 13311023120 is 2132011331.

It can be written as a sum of positive squares in 8 ways, for example, as 1673791744 + 11637231376 = 40912^2 + 107876^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (13311023123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3121790 + ... + 3126050.

Almost surely, 2^13311023120 is an apocalyptic number.

13311023120 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 13311023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16395283224).

13311023120 is an abundant number, since it is smaller than the sum of its proper divisors (19479543328).

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

13311023120 is a wasteful number, since it uses less digits than its factorization.

13311023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6588 (or 6582 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13311023120 its reverse (2132011331), we get a palindrome (15443034451).

The spelling of 13311023120 in words is "thirteen billion, three hundred eleven million, twenty-three thousand, one hundred twenty".