2001320122133 has 12 divisors (see below), whose sum is σ = 2130888631788. Its totient is φ = 1879208795520.

The previous prime is 2001320121937. The next prime is 2001320122157. The reversal of 2001320122133 is 3312210231002.

It can be written as a sum of positive squares in 2 ways, for example, as 584929747249 + 1416390374884 = 764807^2 + 1190122^2 .

It is not a de Polignac number, because 2001320122133 - 2¹⁸ = 2001319859989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001320152133) 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, 24489398 + ... + 24570983.

It is an arithmetic number, because the mean of its divisors is an integer number (177574052649).

Almost surely, 2^{2001320122133} is an apocalyptic number.

It is an amenable number.

2001320122133 is a deficient number, since it is larger than the sum of its proper divisors (129568509655).

2001320122133 is a wasteful number, since it uses less digits than its factorization.

2001320122133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49060532 (or 49060513 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2001320122133 its reverse (3312210231002), we get a palindrome (5313530353135).

The spelling of 2001320122133 in words is "two trillion, one billion, three hundred twenty million, one hundred twenty-two thousand, one hundred thirty-three".