101113311 has 8 divisors (see below), whose sum is σ = 145188400. Its totient is φ = 62223552.

The previous prime is 101113277. The next prime is 101113319. The reversal of 101113311 is 113311101.

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

It is not a de Polignac number, because 101113311 - 2¹⁵ = 101080543 is a prime.

It is a super-2 number, since 2×101113311² = 20447803322765442, which contains 22 as substring.

It is a Duffinian number.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1296286 + ... + 1296363.

It is an arithmetic number, because the mean of its divisors is an integer number (18148550).

Almost surely, 2^101113311 is an apocalyptic number.

101113311 is a deficient number, since it is larger than the sum of its proper divisors (44075089).

101113311 is a wasteful number, since it uses less digits than its factorization.

101113311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592665.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 101113311 is about 10055.5114738138. The cubic root of 101113311 is about 465.8750409422.

Adding to 101113311 its reverse (113311101), we get a palindrome (214424412).

It can be divided in two parts, 101 and 113311, that multiplied together give a palindrome (11444411).

The spelling of 101113311 in words is "one hundred one million, one hundred thirteen thousand, three hundred eleven".