101001313 has 16 divisors (see below), whose sum is σ = 117190656. Its totient is φ = 85262400.

The previous prime is 101001217. The next prime is 101001331. The reversal of 101001313 is 313100101.

It is a cyclic number.

It is not a de Polignac number, because 101001313 - 2²¹ = 98904161 is a prime.

It is a Duffinian number.

101001313 is a modest number, since divided by 1313 gives 101 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 101001313.

It is not an unprimeable number, because it can be changed into a prime (101001343) 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, 263520 + ... + 263902.

It is an arithmetic number, because the mean of its divisors is an integer number (7324416).

Almost surely, 2^101001313 is an apocalyptic number.

It is an amenable number.

101001313 is a deficient number, since it is larger than the sum of its proper divisors (16189343).

101001313 is a wasteful number, since it uses less digits than its factorization.

101001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 101001313 is about 10049.9409451001. The cubic root of 101001313 is about 465.7029688091.

Adding to 101001313 its reverse (313100101), we get a palindrome (414101414).

The spelling of 101001313 in words is "one hundred one million, one thousand, three hundred thirteen".