101323313 has 16 divisors (see below), whose sum is σ = 124992000. Its totient is φ = 79983936.

The previous prime is 101323309. The next prime is 101323331. The reversal of 101323313 is 313323101.

It is a cyclic number.

It is not a de Polignac number, because 101323313 - 2² = 101323309 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101323291 and 101323300.

It is not an unprimeable number, because it can be changed into a prime (101323373) 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, 49688 + ... + 51686.

It is an arithmetic number, because the mean of its divisors is an integer number (7812000).

Almost surely, 2^101323313 is an apocalyptic number.

101323313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101323313 is a deficient number, since it is larger than the sum of its proper divisors (23668687).

101323313 is a wasteful number, since it uses less digits than its factorization.

101323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 101323313 is about 10065.9481917999. The cubic root of 101323313 is about 466.1973428447.

Adding to 101323313 its reverse (313323101), we get a palindrome (414646414).

The spelling of 101323313 in words is "one hundred one million, three hundred twenty-three thousand, three hundred thirteen".