111000111313 has 16 divisors (see below), whose sum is σ = 136636479616. Its totient is φ = 87810791040.

The previous prime is 111000111263. The next prime is 111000111323. The reversal of 111000111313 is 313111000111.

It is not a de Polignac number, because 111000111313 - 2⁹ = 111000110801 is a prime.

It is a super-2 number, since 2×111000111313² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 111000111293 and 111000111302.

It is not an unprimeable number, because it can be changed into a prime (111000111323) 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, 525253 + ... + 705613.

It is an arithmetic number, because the mean of its divisors is an integer number (8539779976).

Almost surely, 2^111000111313 is an apocalyptic number.

111000111313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111000111313 is a deficient number, since it is larger than the sum of its proper divisors (25636368303).

111000111313 is a wasteful number, since it uses less digits than its factorization.

111000111313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187144.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 111000111313 its reverse (313111000111), we get a palindrome (424111111424).

It can be divided in two parts, 111000111 and 313, that multiplied together give a palindrome (34743034743).

The spelling of 111000111313 in words is "one hundred eleven billion, one hundred eleven thousand, three hundred thirteen".