1000111113 has 48 divisors (see below), whose sum is σ = 1561135680. Its totient is φ = 615019392.

The previous prime is 1000111109. The next prime is 1000111117. The reversal of 1000111113 is 3111110001.

It is an interprime number because it is at equal distance from previous prime (1000111109) and next prime (1000111117).

It is not a de Polignac number, because 1000111113 - 2² = 1000111109 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 = 1000111095 and 1000111104.

It is not an unprimeable number, because it can be changed into a prime (1000111117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1476931 + ... + 1477607.

It is an arithmetic number, because the mean of its divisors is an integer number (32523660).

Almost surely, 2^1000111113 is an apocalyptic number.

It is an amenable number.

1000111113 is a deficient number, since it is larger than the sum of its proper divisors (561024567).

1000111113 is a wasteful number, since it uses less digits than its factorization.

1000111113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 915 counting only the distinct ones).

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

The square root of 1000111113 is about 31624.5334036725. The cubic root of 1000111113 is about 1000.0370362950.

Adding to 1000111113 its reverse (3111110001), we get a palindrome (4111221114).

It can be divided in two parts, 100011 and 1113, that added together give a square (101124 = 318²).

The spelling of 1000111113 in words is "one billion, one hundred eleven thousand, one hundred thirteen".