711011000011 has 16 divisors (see below), whose sum is σ = 780638088384. Its totient is φ = 643532782464.

The previous prime is 711011000003. The next prime is 711011000017. The reversal of 711011000011 is 110000110117.

It is not a de Polignac number, because 711011000011 - 2³ = 711011000003 is a prime.

It is a super-3 number, since 3×711011000011³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 711010999955 and 711011000000.

It is not an unprimeable number, because it can be changed into a prime (711011000017) 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, 786145 + ... + 1428301.

It is an arithmetic number, because the mean of its divisors is an integer number (48789880524).

Almost surely, 2^711011000011 is an apocalyptic number.

711011000011 is a deficient number, since it is larger than the sum of its proper divisors (69627088373).

711011000011 is a wasteful number, since it uses less digits than its factorization.

711011000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643830.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 711011000011 its reverse (110000110117), we get a palindrome (821011110128).

The spelling of 711011000011 in words is "seven hundred eleven billion, eleven million, eleven", and thus it is an aban number.