101313144 has 48 divisors (see below), whose sum is σ = 276419520. Its totient is φ = 33521280.

The previous prime is 101313109. The next prime is 101313161. The reversal of 101313144 is 441313101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4729 + ... + 14999.

It is an arithmetic number, because the mean of its divisors is an integer number (5758740).

Almost surely, 2^101313144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101313144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138209760).

101313144 is an abundant number, since it is smaller than the sum of its proper divisors (175106376).

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

101313144 is a wasteful number, since it uses less digits than its factorization.

101313144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10420 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101313144 is about 10065.4430602930. The cubic root of 101313144 is about 466.1817461728.

Adding to 101313144 its reverse (441313101), we get a palindrome (542626245).

The spelling of 101313144 in words is "one hundred one million, three hundred thirteen thousand, one hundred forty-four".