2005131334311 has 72 divisors (see below), whose sum is σ = 3497157977040. Its totient is φ = 1144737401472.

The previous prime is 2005131334307. The next prime is 2005131334343. The reversal of 2005131334311 is 1134331315002.

2005131334311 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 1 + 313 + 34 + 311 = 666.

It is not a de Polignac number, because 2005131334311 - 2² = 2005131334307 is a prime.

It is a super-2 number, since 2×2005131334311² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005131334111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12985225 + ... + 13138733.

It is an arithmetic number, because the mean of its divisors is an integer number (48571638570).

Almost surely, 2^{2005131334311} is an apocalyptic number.

2005131334311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2005131334311 is a deficient number, since it is larger than the sum of its proper divisors (1492026642729).

2005131334311 is a wasteful number, since it uses less digits than its factorization.

2005131334311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154635 (or 154616 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 2005131334311 its reverse (1134331315002), we get a palindrome (3139462649313).

The spelling of 2005131334311 in words is "two trillion, five billion, one hundred thirty-one million, three hundred thirty-four thousand, three hundred eleven".