11000010111309 has 24 divisors (see below), whose sum is σ = 15900293185400. Its totient is φ = 7328083986432.

The previous prime is 11000010111269. The next prime is 11000010111329. The reversal of 11000010111309 is 90311101000011.

It can be written as a sum of positive squares in 4 ways, for example, as 706981635684 + 10293028475625 = 840822^2 + 3208275^2 .

It is not a de Polignac number, because 11000010111309 - 2⁹ = 11000010110797 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11000010111291 and 11000010111300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000010111329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385775037 + ... + 385803549.

Almost surely, 2^{11000010111309} is an apocalyptic number.

It is an amenable number.

11000010111309 is a deficient number, since it is larger than the sum of its proper divisors (4900283074091).

11000010111309 is a wasteful number, since it uses less digits than its factorization.

11000010111309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57741 (or 57738 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

The spelling of 11000010111309 in words is "eleven trillion, ten million, one hundred eleven thousand, three hundred nine".