101013113 has 8 divisors (see below), whose sum is σ = 102480000. Its totient is φ = 99551088.

The previous prime is 101013091. The next prime is 101013127. The reversal of 101013113 is 311310101.

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 not a de Polignac number, because 101013113 - 2¹⁰ = 101012089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101013094 and 101013103.

It is not an unprimeable number, because it can be changed into a prime (101013163) 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 7 ways as a sum of consecutive naturals, for example, 66638 + ... + 68136.

It is an arithmetic number, because the mean of its divisors is an integer number (12810000).

Almost surely, 2^101013113 is an apocalyptic number.

It is an amenable number.

101013113 is a deficient number, since it is larger than the sum of its proper divisors (1466887).

101013113 is an equidigital number, since it uses as much as digits as its factorization.

101013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431.

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

The square root of 101013113 is about 10050.5279960806. The cubic root of 101013113 is about 465.7211041543.

Adding to 101013113 its reverse (311310101), we get a palindrome (412323214).

It can be divided in two parts, 10101 and 3113, that multiplied together give a palindrome (31444413).

The spelling of 101013113 in words is "one hundred one million, thirteen thousand, one hundred thirteen".