111101013 has 12 divisors (see below), whose sum is σ = 162740448. Its totient is φ = 73023720.

The previous prime is 111100981. The next prime is 111101033. The reversal of 111101013 is 310101111.

It is not a de Polignac number, because 111101013 - 2⁵ = 111100981 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 = 111100986 and 111101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86295 + ... + 87572.

It is an arithmetic number, because the mean of its divisors is an integer number (13561704).

Almost surely, 2^111101013 is an apocalyptic number.

It is an amenable number.

111101013 is a deficient number, since it is larger than the sum of its proper divisors (51639435).

111101013 is a wasteful number, since it uses less digits than its factorization.

111101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173944 (or 173941 counting only the distinct ones).

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

The square root of 111101013 is about 10540.4465275433. The cubic root of 111101013 is about 480.7352923315.

Adding to 111101013 its reverse (310101111), we get a palindrome (421202124).

It can be divided in two parts, 111 and 101013, that added together give a square (101124 = 318²).

The spelling of 111101013 in words is "one hundred eleven million, one hundred one thousand, thirteen".