2001121201133 has 2 divisors, whose sum is σ = 2001121201134. Its totient is φ = 2001121201132.

The previous prime is 2001121201117. The next prime is 2001121201153. The reversal of 2001121201133 is 3311021211002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1506064019524 + 495057181609 = 1227218^2 + 703603^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001121201133 - 2⁴ = 2001121201117 is a prime.

It is a super-3 number, since 3×2001121201133³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001121201103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000560600566 + 1000560600567.

It is an arithmetic number, because the mean of its divisors is an integer number (1000560600567).

Almost surely, 2^{2001121201133} is an apocalyptic number.

It is an amenable number.

2001121201133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001121201133 is an equidigital number, since it uses as much as digits as its factorization.

2001121201133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2001121201133 its reverse (3311021211002), we get a palindrome (5312142412135).

The spelling of 2001121201133 in words is "two trillion, one billion, one hundred twenty-one million, two hundred one thousand, one hundred thirty-three".