133211211200 has 84 divisors (see below), whose sum is σ = 347064250752. Its totient is φ = 50150092800.

The previous prime is 133211211191. The next prime is 133211211209. The reversal of 133211211200 is 2112112331.

133211211200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133211211191) and next prime (133211211209).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133211211209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2421536 + ... + 2475935.

Almost surely, 2^133211211200 is an apocalyptic number.

133211211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133211211200 is an abundant number, since it is smaller than the sum of its proper divisors (213853039552).

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

133211211200 is a wasteful number, since it uses less digits than its factorization.

133211211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4897510 (or 4897495 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 133211211200 its reverse (2112112331), we get a palindrome (135323323531).

The spelling of 133211211200 in words is "one hundred thirty-three billion, two hundred eleven million, two hundred eleven thousand, two hundred".