133231331302002 has 240 divisors, whose sum is σ = 309899451837888. Its totient is φ = 42750025231680.

The previous prime is 133231331301961. The next prime is 133231331302007. The reversal of 133231331302002 is 200203133132331.

133231331302002 is a `hidden beast` number, since 1 + 3 + 3 + 23 + 1 + 331 + 302 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133231331302007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37946831427 + ... + 37946834937.

Almost surely, 2^{133231331302002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133231331302002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154949725918944).

133231331302002 is an abundant number, since it is smaller than the sum of its proper divisors (176668120535886).

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

133231331302002 is a wasteful number, since it uses less digits than its factorization.

133231331302002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4123 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133231331302002 its reverse (200203133132331), we get a palindrome (333434464434333).

The spelling of 133231331302002 in words is "one hundred thirty-three trillion, two hundred thirty-one billion, three hundred thirty-one million, three hundred two thousand, two".