101312313 has 16 divisors (see below), whose sum is σ = 142617600. Its totient is φ = 63795600.

The previous prime is 101312291. The next prime is 101312317. The reversal of 101312313 is 313213101.

It is not a de Polignac number, because 101312313 - 2⁹ = 101311801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101312292 and 101312301.

It is not an unprimeable number, because it can be changed into a prime (101312317) 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, 17988 + ... + 22938.

It is an arithmetic number, because the mean of its divisors is an integer number (8913600).

Almost surely, 2^101312313 is an apocalyptic number.

It is an amenable number.

101312313 is a deficient number, since it is larger than the sum of its proper divisors (41305287).

101312313 is a wasteful number, since it uses less digits than its factorization.

101312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5332.

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

The square root of 101312313 is about 10065.4017803563. The cubic root of 101312313 is about 466.1804715831.

Adding to 101312313 its reverse (313213101), we get a palindrome (414525414).

The spelling of 101312313 in words is "one hundred one million, three hundred twelve thousand, three hundred thirteen".