101313120 has 96 divisors (see below), whose sum is σ = 323108352. Its totient is φ = 26680832.

The previous prime is 101313109. The next prime is 101313161. The reversal of 101313120 is 21313101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101313096 and 101313105.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38569 + ... + 41111.

It is an arithmetic number, because the mean of its divisors is an integer number (3365712).

Almost surely, 2^101313120 is an apocalyptic number.

101313120 is a gapful number since it is divisible by the number (10) 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 101313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161554176).

101313120 is an abundant number, since it is smaller than the sum of its proper divisors (221795232).

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

101313120 is a wasteful number, since it uses less digits than its factorization.

101313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101313120 is about 10065.4418680950. The cubic root of 101313120 is about 466.1817093617.

Adding to 101313120 its reverse (21313101), we get a palindrome (122626221).

The spelling of 101313120 in words is "one hundred one million, three hundred thirteen thousand, one hundred twenty".