133031202202002 has 128 divisors (see below), whose sum is σ = 302144957936640. Its totient is φ = 38709478229760.

The previous prime is 133031202202001. The next prime is 133031202202043. The reversal of 133031202202002 is 200202202130331.

It is a happy number.

133031202202002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133031202202002² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133031202202002.

It is not an unprimeable number, because it can be changed into a prime (133031202202001) 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, 3703214013 + ... + 3703249935.

It is an arithmetic number, because the mean of its divisors is an integer number (2360507483880).

Almost surely, 2^{133031202202002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133031202202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151072478968320).

133031202202002 is an abundant number, since it is smaller than the sum of its proper divisors (169113755734638).

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

133031202202002 is a wasteful number, since it uses less digits than its factorization.

133031202202002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40328.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 133031202202002 its reverse (200202202130331), we get a palindrome (333233404332333).

The spelling of 133031202202002 in words is "one hundred thirty-three trillion, thirty-one billion, two hundred two million, two hundred two thousand, two".