1311000205011 has 16 divisors (see below), whose sum is σ = 1999052699904. Its totient is φ = 748641186144.

The previous prime is 1311000205003. The next prime is 1311000205027. The reversal of 1311000205011 is 1105020001131.

It is not a de Polignac number, because 1311000205011 - 2³ = 1311000205003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1311000205061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20875741 + ... + 20938446.

It is an arithmetic number, because the mean of its divisors is an integer number (124940793744).

Almost surely, 2^{1311000205011} is an apocalyptic number.

1311000205011 is a deficient number, since it is larger than the sum of its proper divisors (688052494893).

1311000205011 is a wasteful number, since it uses less digits than its factorization.

1311000205011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41815690.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 1311000205011 its reverse (1105020001131), we get a palindrome (2416020206142).

The spelling of 1311000205011 in words is "one trillion, three hundred eleven billion, two hundred five thousand, eleven".