101113310 has 32 divisors (see below), whose sum is σ = 184587552. Its totient is φ = 39876480.

The previous prime is 101113277. The next prime is 101113319. The reversal of 101113310 is 13311101.

It is a happy number.

It is a super-2 number, since 2×101113310² = 20447802918312200, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101113291 and 101113300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364892 + ... + 365168.

It is an arithmetic number, because the mean of its divisors is an integer number (5768361).

Almost surely, 2^101113310 is an apocalyptic number.

101113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101113310 is a deficient number, since it is larger than the sum of its proper divisors (83474242).

101113310 is a wasteful number, since it uses less digits than its factorization.

101113310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 101113310 is about 10055.5114240898. The cubic root of 101113310 is about 465.8750394063.

Adding to 101113310 its reverse (13311101), we get a palindrome (114424411).

The spelling of 101113310 in words is "one hundred one million, one hundred thirteen thousand, three hundred ten".