13213320030 has 192 divisors, whose sum is σ = 36229939200. Its totient is φ = 3337044480.

The previous prime is 13213320017. The next prime is 13213320037. The reversal of 13213320030 is 3002331231.

13213320030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13213319985 and 13213320012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213320037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31535161 + ... + 31535579.

It is an arithmetic number, because the mean of its divisors is an integer number (188697600).

Almost surely, 2^13213320030 is an apocalyptic number.

13213320030 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 13213320030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18114969600).

13213320030 is an abundant number, since it is smaller than the sum of its proper divisors (23016619170).

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

13213320030 is a wasteful number, since it uses less digits than its factorization.

13213320030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 676 counting only the distinct ones).

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

Adding to 13213320030 its reverse (3002331231), we get a palindrome (16215651261).

The spelling of 13213320030 in words is "thirteen billion, two hundred thirteen million, three hundred twenty thousand, thirty".