101111110113 has 8 divisors (see below), whose sum is σ = 145185183808. Its totient is φ = 62222221584.

The previous prime is 101111110097. The next prime is 101111110127. The reversal of 101111110113 is 311011111101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101111110113 - 2⁴ = 101111110097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101111110183) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1296296245 + ... + 1296296322.

It is an arithmetic number, because the mean of its divisors is an integer number (18148147976).

Almost surely, 2^101111110113 is an apocalyptic number.

101111110113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101111110113 is a deficient number, since it is larger than the sum of its proper divisors (44074073695).

101111110113 is a wasteful number, since it uses less digits than its factorization.

101111110113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592592583.

The product of its (nonzero) digits is 3, while the sum is 12.

Adding to 101111110113 its reverse (311011111101), we get a palindrome (412122221214).

The spelling of 101111110113 in words is "one hundred one billion, one hundred eleven million, one hundred ten thousand, one hundred thirteen".