133321202002032 has 320 divisors, whose sum is σ = 397050787837440. Its totient is φ = 38124045619200.

The previous prime is 133321202002007. The next prime is 133321202002033. The reversal of 133321202002032 is 230200202123331.

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

It is a junction number, because it is equal to n+sod(n) for n = 133321202001993 and 133321202002011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133321202002033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3072107758 + ... + 3072151154.

It is an arithmetic number, because the mean of its divisors is an integer number (1240783711992).

Almost surely, 2^{133321202002032} is an apocalyptic number.

133321202002032 is a gapful number since it is divisible by the number (12) 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 133321202002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198525393918720).

133321202002032 is an abundant number, since it is smaller than the sum of its proper divisors (263729585835408).

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

133321202002032 is a wasteful number, since it uses less digits than its factorization.

133321202002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44632 (or 44626 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 133321202002032 its reverse (230200202123331), we get a palindrome (363521404125363).

The spelling of 133321202002032 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, two hundred two million, two thousand, thirty-two".