2001332221133 has 12 divisors (see below), whose sum is σ = 2328155323452. Its totient is φ = 1715372366400.

The previous prime is 2001332221127. The next prime is 2001332221171. The reversal of 2001332221133 is 3311222331002.

It can be written as a sum of positive squares in 2 ways, for example, as 1227280661929 + 774051559204 = 1107827^2 + 879802^2 .

It is not a de Polignac number, because 2001332221133 - 2³⁶ = 1932612744397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001332221099 and 2001332221108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001332221183) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 917183 + ... + 2200883.

It is an arithmetic number, because the mean of its divisors is an integer number (194012943621).

Almost surely, 2^{2001332221133} is an apocalyptic number.

It is an amenable number.

2001332221133 is a deficient number, since it is larger than the sum of its proper divisors (326823102319).

2001332221133 is a wasteful number, since it uses less digits than its factorization.

2001332221133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315532 (or 1315525 counting only the distinct ones).

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

Adding to 2001332221133 its reverse (3311222331002), we get a palindrome (5312554552135).

The spelling of 2001332221133 in words is "two trillion, one billion, three hundred thirty-two million, two hundred twenty-one thousand, one hundred thirty-three".