133002121233366 has 384 divisors, whose sum is σ = 386616765450240. Its totient is φ = 31985617305600.

The previous prime is 133002121233269. The next prime is 133002121233367. The reversal of 133002121233366 is 663332121200331.

133002121233366 is a `hidden beast` number, since 1 + 3 + 30 + 0 + 21 + 212 + 33 + 366 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133002121233366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133002121233367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 764429230 + ... + 764603198.

It is an arithmetic number, because the mean of its divisors is an integer number (1006814493360).

Almost surely, 2^{133002121233366} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133002121233366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193308382725120).

133002121233366 is an abundant number, since it is smaller than the sum of its proper divisors (253614644216874).

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

133002121233366 is a wasteful number, since it uses less digits than its factorization.

133002121233366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174540 (or 174537 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

Adding to 133002121233366 its reverse (663332121200331), we get a palindrome (796334242433697).

The spelling of 133002121233366 in words is "one hundred thirty-three trillion, two billion, one hundred twenty-one million, two hundred thirty-three thousand, three hundred sixty-six".