13213240240200 has 1536 divisors, whose sum is σ = 58283869593600. Its totient is φ = 2387202048000.

The previous prime is 13213240240199. The next prime is 13213240240259. The reversal of 13213240240200 is 204204231231.

It is a happy number.

It is a super-3 number, since 3×13213240240200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 714104149 + ... + 714122651.

It is an arithmetic number, because the mean of its divisors is an integer number (37945227600).

Almost surely, 2^{13213240240200} is an apocalyptic number.

13213240240200 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 13213240240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29141934796800).

13213240240200 is an abundant number, since it is smaller than the sum of its proper divisors (45070629353400).

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

13213240240200 is a wasteful number, since it uses less digits than its factorization.

13213240240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18623 (or 18614 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13213240240200 its reverse (204204231231), we get a palindrome (13417444471431).

The spelling of 13213240240200 in words is "thirteen trillion, two hundred thirteen billion, two hundred forty million, two hundred forty thousand, two hundred".