101123313 has 8 divisors (see below), whose sum is σ = 136346400. Its totient is φ = 66657888.

The previous prime is 101123303. The next prime is 101123371. The reversal of 101123313 is 313321101.

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

It is not a de Polignac number, because 101123313 - 2¹⁰ = 101122289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101123292 and 101123301.

It is not an unprimeable number, because it can be changed into a prime (101123303) 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, 189103 + ... + 189636.

It is an arithmetic number, because the mean of its divisors is an integer number (17043300).

Almost surely, 2^101123313 is an apocalyptic number.

It is an amenable number.

101123313 is a deficient number, since it is larger than the sum of its proper divisors (35223087).

101123313 is an equidigital number, since it uses as much as digits as its factorization.

101123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378831.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 101123313 is about 10056.0088007121. The cubic root of 101123313 is about 465.8904016910.

Adding to 101123313 its reverse (313321101), we get a palindrome (414444414).

The spelling of 101123313 in words is "one hundred one million, one hundred twenty-three thousand, three hundred thirteen".