13030013322000 has 560 divisors, whose sum is σ = 48243571713792. Its totient is φ = 3400723180800.

The previous prime is 13030013321917. The next prime is 13030013322037. The reversal of 13030013322000 is 22331003031.

13030013322000 is a `hidden beast` number, since 1 + 30 + 300 + 1 + 332 + 2 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 68430927 + ... + 68621073.

Almost surely, 2^{13030013322000} is an apocalyptic number.

13030013322000 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 13030013322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24121785856896).

13030013322000 is an abundant number, since it is smaller than the sum of its proper divisors (35213558391792).

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

13030013322000 is an equidigital number, since it uses as much as digits as its factorization.

13030013322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190235 (or 190204 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13030013322000 its reverse (22331003031), we get a palindrome (13052344325031).

The spelling of 13030013322000 in words is "thirteen trillion, thirty billion, thirteen million, three hundred twenty-two thousand".