13003120001200 has 240 divisors, whose sum is σ = 36151699643136. Its totient is φ = 4402220774400.

The previous prime is 13003120001153. The next prime is 13003120001203. The reversal of 13003120001200 is 210002130031.

It is a super-2 number, since 2×13003120001200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13003120001203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 484075770 + ... + 484102630.

Almost surely, 2^{13003120001200} is an apocalyptic number.

13003120001200 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 13003120001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18075849821568).

13003120001200 is an abundant number, since it is smaller than the sum of its proper divisors (23148579641936).

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

13003120001200 is a wasteful number, since it uses less digits than its factorization.

13003120001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29052 (or 29041 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13003120001200 its reverse (210002130031), we get a palindrome (13213122131231).

The spelling of 13003120001200 in words is "thirteen trillion, three billion, one hundred twenty million, one thousand, two hundred".