133233312102000 has 320 divisors, whose sum is σ = 468617790970368. Its totient is φ = 32297322240000.

The previous prime is 133233312101999. The next prime is 133233312102013. The reversal of 133233312102000 is 201213332331.

It is a super-2 number, since 2×133233312102000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1707182980 + ... + 1707261020.

Almost surely, 2^{133233312102000} is an apocalyptic number.

133233312102000 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 133233312102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234308895485184).

133233312102000 is an abundant number, since it is smaller than the sum of its proper divisors (335384478868368).

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

133233312102000 is a wasteful number, since it uses less digits than its factorization.

133233312102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103945 (or 103929 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133233312102000 its reverse (201213332331), we get a palindrome (133434525434331).

The spelling of 133233312102000 in words is "one hundred thirty-three trillion, two hundred thirty-three billion, three hundred twelve million, one hundred two thousand".