2005133131001 has 32 divisors (see below), whose sum is σ = 2729086364928. Its totient is φ = 1422496650240.

The previous prime is 2005133130991. The next prime is 2005133131033. The reversal of 2005133131001 is 1001313315002.

It is a cyclic number.

It is not a de Polignac number, because 2005133131001 - 2⁶ = 2005133130937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2005133131201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13646996 + ... + 13793141.

It is an arithmetic number, because the mean of its divisors is an integer number (85283948904).

Almost surely, 2^{2005133131001} is an apocalyptic number.

It is an amenable number.

2005133131001 is a deficient number, since it is larger than the sum of its proper divisors (723953233927).

2005133131001 is a wasteful number, since it uses less digits than its factorization.

2005133131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27440241.

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 2005133131001 its reverse (1001313315002), we get a palindrome (3006446446003).

The spelling of 2005133131001 in words is "two trillion, five billion, one hundred thirty-three million, one hundred thirty-one thousand, one".