2002133122331 has 8 divisors (see below), whose sum is σ = 2053144908000. Its totient is φ = 1951755023680.

The previous prime is 2002133122309. The next prime is 2002133122349. The reversal of 2002133122331 is 1332213312002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002133122331 - 2⁶ = 2002133122267 is a prime.

It is a super-2 number, since 2×2002133122331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002133122297 and 2002133122306.

It is not an unprimeable number, because it can be changed into a prime (2002133122391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158415356 + ... + 158427993.

It is an arithmetic number, because the mean of its divisors is an integer number (256643113500).

Almost surely, 2^{2002133122331} is an apocalyptic number.

2002133122331 is a deficient number, since it is larger than the sum of its proper divisors (51011785669).

2002133122331 is an equidigital number, since it uses as much as digits as its factorization.

2002133122331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316843509.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2002133122331 its reverse (1332213312002), we get a palindrome (3334346434333).

The spelling of 2002133122331 in words is "two trillion, two billion, one hundred thirty-three million, one hundred twenty-two thousand, three hundred thirty-one".