133210200123000 has 3072 divisors, whose sum is σ = 624849609646080. Its totient is φ = 24701054976000.

The previous prime is 133210200122983. The next prime is 133210200123029. The reversal of 133210200123000 is 321002012331.

133210200123000 is a `hidden beast` number, since 1 + 332 + 1 + 0 + 20 + 0 + 12 + 300 + 0 = 666.

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 767 ways as a sum of consecutive naturals, for example, 55666609804 + ... + 55666612196.

It is an arithmetic number, because the mean of its divisors is an integer number (203401565640).

Almost surely, 2^{133210200123000} is an apocalyptic number.

133210200123000 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 133210200123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312424804823040).

133210200123000 is an abundant number, since it is smaller than the sum of its proper divisors (491639409523080).

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

133210200123000 is a wasteful number, since it uses less digits than its factorization.

133210200123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133210200123000 its reverse (321002012331), we get a palindrome (133531202135331).

The spelling of 133210200123000 in words is "one hundred thirty-three trillion, two hundred ten billion, two hundred million, one hundred twenty-three thousand".