101313 has 6 divisors (see below), whose sum is σ = 146354. Its totient is φ = 67536.

The previous prime is 101293. The next prime is 101323. The reversal of 101313 is 313101.

It can be written as a sum of positive squares in only one way, i.e., 97344 + 3969 = 312^2 + 63^2 .

It is not a de Polignac number, because 101313 - 2⁵ = 101281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11257 = 101313 / (1 + 0 + 1 + 3 + 1 + 3).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101295 and 101304.

It is not an unprimeable number, because it can be changed into a prime (101323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5620 + ... + 5637.

2¹⁰¹³¹³ is an apocalyptic number.

It is an amenable number.

101313 is a deficient number, since it is larger than the sum of its proper divisors (45041).

101313 is a wasteful number, since it uses less digits than its factorization.

101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11263 (or 11260 counting only the distinct ones).

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

The square root of 101313 is about 318.2970310889. The cubic root of 101313 is about 46.6181525306.

Adding to 101313 its reverse (313101), we get a palindrome (414414).

It can be divided in two parts, 101 and 313, that multiplied together give a palindrome (31613).

The spelling of 101313 in words is "one hundred one thousand, three hundred thirteen".