13331333333120 has 128 divisors (see below), whose sum is σ = 34872555257280. Its totient is φ = 4833110937600.

The previous prime is 13331333333117. The next prime is 13331333333147. The reversal of 13331333333120 is 2133333313331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530267 + ... + 5190746.

Almost surely, 2^{13331333333120} is an apocalyptic number.

13331333333120 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 13331333333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436277628640).

13331333333120 is an abundant number, since it is smaller than the sum of its proper divisors (21541221924160).

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

13331333333120 is a wasteful number, since it uses less digits than its factorization.

13331333333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721374 (or 5721362 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 32.

Adding to 13331333333120 its reverse (2133333313331), we get a palindrome (15464666646451).

It can be divided in two parts, 133313 and 33333120, that added together give a palindrome (33466433).

The spelling of 13331333333120 in words is "thirteen trillion, three hundred thirty-one billion, three hundred thirty-three million, three hundred thirty-three thousand, one hundred twenty".