133211311200000 has 1296 divisors, whose sum is σ = 525254963530752. Its totient is φ = 32198630400000.

The previous prime is 133211311199983. The next prime is 133211311200017. The reversal of 133211311200000 is 2113112331.

133211311200000 is a `hidden beast` number, since 1 + 332 + 1 + 1 + 311 + 20 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133211311199983) and next prime (133211311200017).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29066397709 + ... + 29066402291.

It is an arithmetic number, because the mean of its divisors is an integer number (405289323712).

Almost surely, 2^{133211311200000} is an apocalyptic number.

133211311200000 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 133211311200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262627481765376).

133211311200000 is an abundant number, since it is smaller than the sum of its proper divisors (392043652330752).

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

133211311200000 is an equidigital number, since it uses as much as digits as its factorization.

133211311200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008 (or 4971 counting only the distinct ones).

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

Adding to 133211311200000 its reverse (2113112331), we get a palindrome (133213424312331).

The spelling of 133211311200000 in words is "one hundred thirty-three trillion, two hundred eleven billion, three hundred eleven million, two hundred thousand".