13101111 has 24 divisors (see below), whose sum is σ = 19619600. Its totient is φ = 8418816.

The previous prime is 13101097. The next prime is 13101119. The reversal of 13101111 is 11110131.

13101111 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13101111 - 2⁶ = 13101047 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13101093 and 13101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101119) 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, 37365 + ... + 37713.

Almost surely, 2^13101111 is an apocalyptic number.

13101111 is a deficient number, since it is larger than the sum of its proper divisors (6518489).

13101111 is a wasteful number, since it uses less digits than its factorization.

13101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 492 counting only the distinct ones).

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

The square root of 13101111 is about 3619.5456897241. The cubic root of 13101111 is about 235.7414997308.

Adding to 13101111 its reverse (11110131), we get a palindrome (24211242).

It can be divided in two parts, 13 and 101111, that added together give a square (101124 = 318²).

The spelling of 13101111 in words is "thirteen million, one hundred one thousand, one hundred eleven".