10011111311 has 4 divisors (see below), whose sum is σ = 10013550624. Its totient is φ = 10008672000.

The previous prime is 10011111293. The next prime is 10011111337. The reversal of 10011111311 is 11311111001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 11311111001 = 157 ⋅72045293.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10011111311 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011111292 and 10011111301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011111371) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1213490 + ... + 1221711.

It is an arithmetic number, because the mean of its divisors is an integer number (2503387656).

Almost surely, 2^10011111311 is an apocalyptic number.

10011111311 is a deficient number, since it is larger than the sum of its proper divisors (2439313).

10011111311 is an equidigital number, since it uses as much as digits as its factorization.

10011111311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439312.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 10011111311 its reverse (11311111001), we get a palindrome (21322222312).

The spelling of 10011111311 in words is "ten billion, eleven million, one hundred eleven thousand, three hundred eleven".