13030032103200 has 1152 divisors, whose sum is σ = 56283837603840. Its totient is φ = 2847069388800.

The previous prime is 13030032103177. The next prime is 13030032103211. The reversal of 13030032103200 is 230123003031.

13030032103200 is a `hidden beast` number, since 1 + 3 + 0 + 300 + 32 + 10 + 320 + 0 = 666.

It is a super-2 number, since 2×13030032103200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 305553880 + ... + 305596520.

It is an arithmetic number, because the mean of its divisors is an integer number (48857497920).

Almost surely, 2^{13030032103200} is an apocalyptic number.

13030032103200 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 13030032103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28141918801920).

13030032103200 is an abundant number, since it is smaller than the sum of its proper divisors (43253805500640).

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

13030032103200 is a wasteful number, since it uses less digits than its factorization.

13030032103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42767 (or 42748 counting only the distinct ones).

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

Adding to 13030032103200 its reverse (230123003031), we get a palindrome (13260155106231).

The spelling of 13030032103200 in words is "thirteen trillion, thirty billion, thirty-two million, one hundred three thousand, two hundred".