13330312200 has 72 divisors (see below), whose sum is σ = 44767637850. Its totient is φ = 3554749440.

The previous prime is 13330312181. The next prime is 13330312211. The reversal of 13330312200 is 221303331.

13330312200 is a `hidden beast` number, since 1 + 3 + 330 + 312 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10305092196 + 3025220004 = 101514^2 + 55002^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×13330312200⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3701065 + ... + 3704664.

Almost surely, 2^13330312200 is an apocalyptic number.

13330312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13330312200 is an abundant number, since it is smaller than the sum of its proper divisors (31437325650).

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

13330312200 is a wasteful number, since it uses less digits than its factorization.

13330312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7405751 (or 7405739 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13330312200 its reverse (221303331), we get a palindrome (13551615531).

The spelling of 13330312200 in words is "thirteen billion, three hundred thirty million, three hundred twelve thousand, two hundred".