13300113211200 has 336 divisors, whose sum is σ = 49611376682560. Its totient is φ = 3464215050240.

The previous prime is 13300113211199. The next prime is 13300113211201. The reversal of 13300113211200 is 211231100331.

13300113211200 is a `hidden beast` number, since 1 + 330 + 0 + 1 + 1 + 321 + 12 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13300113211199) and next prime (13300113211201).

It is a super-2 number, since 2×13300113211200² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300113211201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1722319 + ... + 5437518.

Almost surely, 2^{13300113211200} is an apocalyptic number.

13300113211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300113211200 is an abundant number, since it is smaller than the sum of its proper divisors (36311263471360).

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

13300113211200 is a wasteful number, since it uses less digits than its factorization.

13300113211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7159911 (or 7159890 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13300113211200 its reverse (211231100331), we get a palindrome (13511344311531).

The spelling of 13300113211200 in words is "thirteen trillion, three hundred billion, one hundred thirteen million, two hundred eleven thousand, two hundred".