13013030230200 has 960 divisors, whose sum is σ = 60683061035520. Its totient is φ = 2496002688000.

The previous prime is 13013030230171. The next prime is 13013030230201. The reversal of 13013030230200 is 203203031031.

13013030230200 is a `hidden beast` number, since 1 + 3 + 0 + 130 + 302 + 30 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013030230201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15814965 + ... + 16617435.

It is an arithmetic number, because the mean of its divisors is an integer number (63211521912).

Almost surely, 2^{13013030230200} is an apocalyptic number.

13013030230200 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 13013030230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30341530517760).

13013030230200 is an abundant number, since it is smaller than the sum of its proper divisors (47670030805320).

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

13013030230200 is a wasteful number, since it uses less digits than its factorization.

13013030230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802530 (or 802512 counting only the distinct ones).

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

Adding to 13013030230200 its reverse (203203031031), we get a palindrome (13216233261231).

The spelling of 13013030230200 in words is "thirteen trillion, thirteen billion, thirty million, two hundred thirty thousand, two hundred".