133122011100000 has 288 divisors, whose sum is σ = 470377014256800. Its totient is φ = 32768494080000.

The previous prime is 133122011099999. The next prime is 133122011100037. The reversal of 133122011100000 is 1110221331.

It is a happy number.

It is a super-3 number, since 3×133122011100000³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13166925 + ... + 20966924.

It is an arithmetic number, because the mean of its divisors is an integer number (1633253521725).

Almost surely, 2^{133122011100000} is an apocalyptic number.

133122011100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133122011100000 is an abundant number, since it is smaller than the sum of its proper divisors (337255003156800).

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

133122011100000 is an equidigital number, since it uses as much as digits as its factorization.

133122011100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34133900 (or 34133872 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 133122011100000 its reverse (1110221331), we get a palindrome (133123121321331).

The spelling of 133122011100000 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, eleven million, one hundred thousand".