11000012013 has 6 divisors (see below), whose sum is σ = 15888906254. Its totient is φ = 7333341336.

The previous prime is 11000011973. The next prime is 11000012017. The reversal of 11000012013 is 31021000011.

It can be written as a sum of positive squares in only one way, i.e., 8764329924 + 2235682089 = 93618^2 + 47283^2 .

It is not a de Polignac number, because 11000012013 - 2²⁵ = 10966457581 is a prime.

It is a super-2 number, since 2×11000012013² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1222223557 = 11000012013 / (1 + 1 + 0 + 0 + 0 + 0 + 1 + 2 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11000011986 and 11000012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000012017) 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, 611111770 + ... + 611111787.

Almost surely, 2^11000012013 is an apocalyptic number.

It is an amenable number.

11000012013 is a deficient number, since it is larger than the sum of its proper divisors (4888894241).

11000012013 is a wasteful number, since it uses less digits than its factorization.

11000012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222223563 (or 1222223560 counting only the distinct ones).

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

Adding to 11000012013 its reverse (31021000011), we get a palindrome (42021012024).

The spelling of 11000012013 in words is "eleven billion, twelve thousand, thirteen".