101111013 has 12 divisors (see below), whose sum is σ = 152399520. Its totient is φ = 64476456.

The previous prime is 101111011. The next prime is 101111033. The reversal of 101111013 is 310111101.

It is not a de Polignac number, because 101111013 - 2¹ = 101111011 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 = 101110986 and 101111004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244023 + ... + 244436.

It is an arithmetic number, because the mean of its divisors is an integer number (12699960).

Almost surely, 2^101111013 is an apocalyptic number.

It is an amenable number.

101111013 is a deficient number, since it is larger than the sum of its proper divisors (51288507).

101111013 is a wasteful number, since it uses less digits than its factorization.

101111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488488 (or 488485 counting only the distinct ones).

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

The square root of 101111013 is about 10055.3972074702. The cubic root of 101111013 is about 465.8715116048.

Adding to 101111013 its reverse (310111101), we get a palindrome (411222114).

It can be divided in two parts, 10111101 and 3, that multiplied together give a palindrome (30333303).

The spelling of 101111013 in words is "one hundred one million, one hundred eleven thousand, thirteen".