101301313 has 8 divisors (see below), whose sum is σ = 102637800. Its totient is φ = 99969408.

The previous prime is 101301307. The next prime is 101301323. The reversal of 101301313 is 313103101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32626944 + 68674369 = 5712^2 + 8287^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101301313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101301293 and 101301302.

It is not an unprimeable number, because it can be changed into a prime (101301323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 73095 + ... + 74467.

It is an arithmetic number, because the mean of its divisors is an integer number (12829725).

Almost surely, 2^101301313 is an apocalyptic number.

It is an amenable number.

101301313 is a deficient number, since it is larger than the sum of its proper divisors (1336487).

101301313 is an equidigital number, since it uses as much as digits as its factorization.

101301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 101301313 is about 10064.8553392485. The cubic root of 101301313 is about 466.1635991002.

Adding to 101301313 its reverse (313103101), we get a palindrome (414404414).

The spelling of 101301313 in words is "one hundred one million, three hundred one thousand, three hundred thirteen".