133211123000 has 256 divisors, whose sum is σ = 337714790400. Its totient is φ = 49062720000.

The previous prime is 133211122991. The next prime is 133211123027. The reversal of 133211123000 is 321112331.

133211123000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133211123000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133211123000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63827957 + ... + 63830043.

It is an arithmetic number, because the mean of its divisors is an integer number (1319198400).

Almost surely, 2^133211123000 is an apocalyptic number.

133211123000 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 133211123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168857395200).

133211123000 is an abundant number, since it is smaller than the sum of its proper divisors (204503667400).

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

133211123000 is a wasteful number, since it uses less digits than its factorization.

133211123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 133211123000 its reverse (321112331), we get a palindrome (133532235331).

The spelling of 133211123000 in words is "one hundred thirty-three billion, two hundred eleven million, one hundred twenty-three thousand".