13000002031200 has 288 divisors, whose sum is σ = 42492775288320. Its totient is φ = 3452116838400.

The previous prime is 13000002031183. The next prime is 13000002031207. The reversal of 13000002031200 is 213020000031.

It is a happy number.

It is a super-2 number, since 2×13000002031200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000002031207) 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, 1729409842 + ... + 1729417358.

It is an arithmetic number, because the mean of its divisors is an integer number (147544358640).

Almost surely, 2^{13000002031200} is an apocalyptic number.

13000002031200 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 13000002031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21246387644160).

13000002031200 is an abundant number, since it is smaller than the sum of its proper divisors (29492773257120).

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

13000002031200 is a wasteful number, since it uses less digits than its factorization.

13000002031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10470 (or 10457 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13000002031200 its reverse (213020000031), we get a palindrome (13213022031231).

The spelling of 13000002031200 in words is "thirteen trillion, two million, thirty-one thousand, two hundred".