133111112322000 has 320 divisors, whose sum is σ = 438565465728000. Its totient is φ = 34718514278400.

The previous prime is 133111112321981. The next prime is 133111112322011. The reversal of 133111112322000 is 223211111331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 436665636 + ... + 436970364.

It is an arithmetic number, because the mean of its divisors is an integer number (1370517080400).

Almost surely, 2^{133111112322000} is an apocalyptic number.

133111112322000 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 133111112322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219282732864000).

133111112322000 is an abundant number, since it is smaller than the sum of its proper divisors (305454353406000).

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

133111112322000 is a wasteful number, since it uses less digits than its factorization.

133111112322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306351 (or 306335 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 133111112322000 its reverse (223211111331), we get a palindrome (133334323433331).

The spelling of 133111112322000 in words is "one hundred thirty-three trillion, one hundred eleven billion, one hundred twelve million, three hundred twenty-two thousand".