13133313221130 has 128 divisors (see below), whose sum is σ = 36547771760640. Its totient is φ = 3349680713280.

The previous prime is 13133313221081. The next prime is 13133313221131. The reversal of 13133313221130 is 3112231333131.

13133313221130 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 331 + 322 + 1 + 1 + 3 + 0 = 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 = 13133313221094 and 13133313221103.

It is not an unprimeable number, because it can be changed into a prime (13133313221131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85142775 + ... + 85296885.

It is an arithmetic number, because the mean of its divisors is an integer number (285529466880).

Almost surely, 2^{13133313221130} is an apocalyptic number.

13133313221130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13133313221130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18273885880320).

13133313221130 is an abundant number, since it is smaller than the sum of its proper divisors (23414458539510).

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

13133313221130 is a wasteful number, since it uses less digits than its factorization.

13133313221130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167873 (or 167867 counting only the distinct ones).

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

Adding to 13133313221130 its reverse (3112231333131), we get a palindrome (16245544554261).

The spelling of 13133313221130 in words is "thirteen trillion, one hundred thirty-three billion, three hundred thirteen million, two hundred twenty-one thousand, one hundred thirty".