13331121123330 has 128 divisors (see below), whose sum is σ = 37798308633600. Its totient is φ = 3331850360832.

The previous prime is 13331121123301. The next prime is 13331121123361. The reversal of 13331121123330 is 3332112113331.

13331121123330 is a `hidden beast` number, since 1 + 3 + 3 + 311 + 2 + 1 + 12 + 3 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13331121123294 and 13331121123303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4979107 + ... + 7173126.

It is an arithmetic number, because the mean of its divisors is an integer number (295299286200).

Almost surely, 2^{13331121123330} is an apocalyptic number.

13331121123330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13331121123330 is an abundant number, since it is smaller than the sum of its proper divisors (24467187510270).

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

13331121123330 is a wasteful number, since it uses less digits than its factorization.

13331121123330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12152505 (or 12152499 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13331121123330 its reverse (3332112113331), we get a palindrome (16663233236661).

Subtracting from 13331121123330 its reverse (3332112113331), we obtain a palindrome (9999009009999).

The spelling of 13331121123330 in words is "thirteen trillion, three hundred thirty-one billion, one hundred twenty-one million, one hundred twenty-three thousand, three hundred thirty".