101114113 has 8 divisors (see below), whose sum is σ = 109552608. Its totient is φ = 92952384.

The previous prime is 101114093. The next prime is 101114161. The reversal of 101114113 is 311411101.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101114113 is a prime.

It is a super-4 number, since 4×101114113⁴ (a number of 33 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101114093 and 101114102.

It is not an unprimeable number, because it can be changed into a prime (101111113) 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, 68431 + ... + 69892.

It is an arithmetic number, because the mean of its divisors is an integer number (13694076).

Almost surely, 2^101114113 is an apocalyptic number.

It is an amenable number.

101114113 is a deficient number, since it is larger than the sum of its proper divisors (8438495).

101114113 is a wasteful number, since it uses less digits than its factorization.

101114113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138383.

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 101114113 is about 10055.5513523625. The cubic root of 101114113 is about 465.8762726652.

Adding to 101114113 its reverse (311411101), we get a palindrome (412525214).

The spelling of 101114113 in words is "one hundred one million, one hundred fourteen thousand, one hundred thirteen".