133200002331000 has 576 divisors, whose sum is σ = 504778193206560. Its totient is φ = 31418150400000.

The previous prime is 133200002330977. The next prime is 133200002331023. The reversal of 133200002331000 is 133200002331.

133200002331000 is a `hidden beast` number, since 1 + 332 + 0 + 0 + 0 + 0 + 2 + 331 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133200002330977) and next prime (133200002331023).

It is a super-2 number, since 2×133200002331000² (a number of 29 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 135039600 + ... + 136022400.

Almost surely, 2^{133200002331000} is an apocalyptic number.

133200002331000 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 133200002331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252389096603280).

133200002331000 is an abundant number, since it is smaller than the sum of its proper divisors (371578190875560).

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

133200002331000 is a wasteful number, since it uses less digits than its factorization.

133200002331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982913 (or 982859 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133200002331000 its reverse (133200002331), we get a palindrome (133333202333331).

133200002331000 divided by its reverse (133200002331) gives a cube (1000 = 10³).

The spelling of 133200002331000 in words is "one hundred thirty-three trillion, two hundred billion, two million, three hundred thirty-one thousand".