2001416005133 has 2 divisors, whose sum is σ = 2001416005134. Its totient is φ = 2001416005132.

The previous prime is 2001416005081. The next prime is 2001416005181. The reversal of 2001416005133 is 3315006141002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1731019125124 + 270396880009 = 1315682^2 + 519997^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001416005133 - 2⁸ = 2001416004877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001416001133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000708002566 + 1000708002567.

It is an arithmetic number, because the mean of its divisors is an integer number (1000708002567).

Almost surely, 2^{2001416005133} is an apocalyptic number.

It is an amenable number.

2001416005133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001416005133 is an equidigital number, since it uses as much as digits as its factorization.

2001416005133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 2001416005133 in words is "two trillion, one billion, four hundred sixteen million, five thousand, one hundred thirty-three".