101345313 has 16 divisors (see below), whose sum is σ = 143323776. Its totient is φ = 63479040.

The previous prime is 101345273. The next prime is 101345333. The reversal of 101345313 is 313543101.

It is not a de Polignac number, because 101345313 - 2⁹ = 101344801 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101345313.

It is not an unprimeable number, because it can be changed into a prime (101345333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36028 + ... + 38738.

It is an arithmetic number, because the mean of its divisors is an integer number (8957736).

Almost surely, 2^101345313 is an apocalyptic number.

It is an amenable number.

101345313 is a deficient number, since it is larger than the sum of its proper divisors (41978463).

101345313 is a wasteful number, since it uses less digits than its factorization.

101345313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 101345313 is about 10067.0409257140. The cubic root of 101345313 is about 466.2310817050.

Adding to 101345313 its reverse (313543101), we get a palindrome (414888414).

The spelling of 101345313 in words is "one hundred one million, three hundred forty-five thousand, three hundred thirteen".