11001310011 has 72 divisors (see below), whose sum is σ = 17636621184. Its totient is φ = 6582850560.

The previous prime is 11001310009. The next prime is 11001310013.

11001310011 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (11001310009) and next prime (11001310013).

It is not a de Polignac number, because 11001310011 - 2¹ = 11001310009 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 11001309975 and 11001310002.

It is not an unprimeable number, because it can be changed into a prime (11001310013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11100726 + ... + 11101716.

It is an arithmetic number, because the mean of its divisors is an integer number (244953072).

Almost surely, 2^11001310011 is an apocalyptic number.

11001310011 is a deficient number, since it is larger than the sum of its proper divisors (6635311173).

11001310011 is a wasteful number, since it uses less digits than its factorization.

11001310011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The spelling of 11001310011 in words is "eleven billion, one million, three hundred ten thousand, eleven".