13101212200200 has 96 divisors (see below), whose sum is σ = 41219933436960. Its totient is φ = 3441512448000.

The previous prime is 13101212200157. The next prime is 13101212200211. The reversal of 13101212200200 is 200221210131.

13101212200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13101212200200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13101212200200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162910201 + ... + 162990600.

It is an arithmetic number, because the mean of its divisors is an integer number (429374306635).

Almost surely, 2^{13101212200200} is an apocalyptic number.

13101212200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101212200200 is an abundant number, since it is smaller than the sum of its proper divisors (28118721236760).

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

13101212200200 is a wasteful number, since it uses less digits than its factorization.

13101212200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325900887 (or 325900878 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13101212200200 its reverse (200221210131), we get a palindrome (13301433410331).

The spelling of 13101212200200 in words is "thirteen trillion, one hundred one billion, two hundred twelve million, two hundred thousand, two hundred".