13313222132130 has 128 divisors (see below), whose sum is σ = 36371095891200. Its totient is φ = 3463291123200.

The previous prime is 13313222132117. The next prime is 13313222132131. The reversal of 13313222132130 is 3123122231331.

13313222132130 is a `hidden beast` number, since 1 + 3 + 313 + 2 + 2 + 21 + 321 + 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 = 13313222132094 and 13313222132103.

It is not an unprimeable number, because it can be changed into a prime (13313222132131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139312465 + ... + 139407995.

It is an arithmetic number, because the mean of its divisors is an integer number (284149186650).

Almost surely, 2^{13313222132130} is an apocalyptic number.

13313222132130 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 13313222132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18185547945600).

13313222132130 is an abundant number, since it is smaller than the sum of its proper divisors (23057873759070).

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

13313222132130 is a wasteful number, since it uses less digits than its factorization.

13313222132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108177 (or 108171 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13313222132130 its reverse (3123122231331), we get a palindrome (16436344363461).

The spelling of 13313222132130 in words is "thirteen trillion, three hundred thirteen billion, two hundred twenty-two million, one hundred thirty-two thousand, one hundred thirty".