101313856 has 56 divisors (see below), whose sum is σ = 233720640. Its totient is φ = 42673152.

The previous prime is 101313851. The next prime is 101313857. The reversal of 101313856 is 658313101.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24516 + ... + 28348.

Almost surely, 2^101313856 is an apocalyptic number.

101313856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101313856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116860320).

101313856 is an abundant number, since it is smaller than the sum of its proper divisors (132406784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101313856 is an equidigital number, since it uses as much as digits as its factorization.

101313856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 101313856 is about 10065.4784287683. The cubic root of 101313856 is about 466.1828382346.

Adding to 101313856 its reverse (658313101), we get a palindrome (759626957).

The spelling of 101313856 in words is "one hundred one million, three hundred thirteen thousand, eight hundred fifty-six".