2005133441311 has 144 divisors (see below), whose sum is σ = 2858562977760. Its totient is φ = 1388512419840.

The previous prime is 2005133441287. The next prime is 2005133441327. The reversal of 2005133441311 is 1131443315002.

It is a de Polignac number, because none of the positive numbers 2^k-2005133441311 is a prime.

It is a super-3 number, since 3×2005133441311³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2005133441311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005133441351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1143828811 + ... + 1143830563.

It is an arithmetic number, because the mean of its divisors is an integer number (19851131790).

Almost surely, 2^{2005133441311} is an apocalyptic number.

2005133441311 is a deficient number, since it is larger than the sum of its proper divisors (853429536449).

2005133441311 is a wasteful number, since it uses less digits than its factorization.

2005133441311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 2005133441311 its reverse (1131443315002), we get a palindrome (3136576756313).

The spelling of 2005133441311 in words is "two trillion, five billion, one hundred thirty-three million, four hundred forty-one thousand, three hundred eleven".