133123210311000 has 512 divisors, whose sum is σ = 525009197905920. Its totient is φ = 27328409856000.

The previous prime is 133123210310911. The next prime is 133123210311073. The reversal of 133123210311000 is 113012321331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 127 ways as a sum of consecutive naturals, for example, 3511395 + ... + 16690605.

It is an arithmetic number, because the mean of its divisors is an integer number (1025408589660).

Almost surely, 2^{133123210311000} is an apocalyptic number.

133123210311000 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 133123210311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262504598952960).

133123210311000 is an abundant number, since it is smaller than the sum of its proper divisors (391885987594920).

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

133123210311000 is a wasteful number, since it uses less digits than its factorization.

133123210311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13179292 (or 13179278 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133123210311000 its reverse (113012321331), we get a palindrome (133236222632331).

The spelling of 133123210311000 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, two hundred ten million, three hundred eleven thousand".