101313342 has 80 divisors (see below), whose sum is σ = 248204880. Its totient is φ = 30699648.

The previous prime is 101313241. The next prime is 101313343. The reversal of 101313342 is 243313101.

101313342 is a `hidden beast` number, since 10 + 1 + 313 + 342 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313343) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153409 + ... + 154067.

It is an arithmetic number, because the mean of its divisors is an integer number (3102561).

Almost surely, 2^101313342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101313342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124102440).

101313342 is an abundant number, since it is smaller than the sum of its proper divisors (146891538).

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

101313342 is a wasteful number, since it uses less digits than its factorization.

101313342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 101313342 is about 10065.4528959208. The cubic root of 101313342 is about 466.1820498647.

Adding to 101313342 its reverse (243313101), we get a palindrome (344626443).

The spelling of 101313342 in words is "one hundred one million, three hundred thirteen thousand, three hundred forty-two".