1011111111311 has 6 divisors (see below), whose sum is σ = 1176190476480. Its totient is φ = 866666666796.

The previous prime is 1011111111287. The next prime is 1011111111319. The reversal of 1011111111311 is 1131111111101.

It is not a de Polignac number, because 1011111111311 - 2¹⁸ = 1011110849167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011111111319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10317460271 + ... + 10317460368.

It is an arithmetic number, because the mean of its divisors is an integer number (196031746080).

Almost surely, 2^{1011111111311} is an apocalyptic number.

1011111111311 is a deficient number, since it is larger than the sum of its proper divisors (165079365169).

1011111111311 is an equidigital number, since it uses as much as digits as its factorization.

1011111111311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20634920653 (or 20634920646 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 14.

Adding to 1011111111311 its reverse (1131111111101), we get a palindrome (2142222222412).

The spelling of 1011111111311 in words is "one trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, three hundred eleven".