2011000311 has 16 divisors (see below), whose sum is σ = 2980657120. Its totient is φ = 1340038080.

The previous prime is 2011000291. The next prime is 2011000339. The reversal of 2011000311 is 1130001102.

It is not a de Polignac number, because 2011000311 - 2⁵ = 2011000279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011000293 and 2011000302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011000351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45261 + ... + 77913.

It is an arithmetic number, because the mean of its divisors is an integer number (186291070).

Almost surely, 2^2011000311 is an apocalyptic number.

2011000311 is a deficient number, since it is larger than the sum of its proper divisors (969656809).

2011000311 is a wasteful number, since it uses less digits than its factorization.

2011000311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34943 (or 34937 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2011000311 is about 44844.1781171202. The cubic root of 2011000311 is about 1262.2267483781.

Adding to 2011000311 its reverse (1130001102), we get a palindrome (3141001413).

The spelling of 2011000311 in words is "two billion, eleven million, three hundred eleven", and thus it is an aban number.