13120012320030 has 576 divisors, whose sum is σ = 46612174152960. Its totient is φ = 2522370816000.

The previous prime is 13120012319977. The next prime is 13120012320061. The reversal of 13120012320030 is 3002321002131.

13120012320030 is a `hidden beast` number, since 1 + 312 + 0 + 0 + 1 + 2 + 320 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13120012319985 and 13120012320012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48520705 + ... + 48790355.

It is an arithmetic number, because the mean of its divisors is an integer number (80923913460).

Almost surely, 2^{13120012320030} is an apocalyptic number.

13120012320030 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 13120012320030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23306087076480).

13120012320030 is an abundant number, since it is smaller than the sum of its proper divisors (33492161832930).

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

13120012320030 is a wasteful number, since it uses less digits than its factorization.

13120012320030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269765 (or 269755 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13120012320030 its reverse (3002321002131), we get a palindrome (16122333322161).

The spelling of 13120012320030 in words is "thirteen trillion, one hundred twenty billion, twelve million, three hundred twenty thousand, thirty".