101310313 has 8 divisors (see below), whose sum is σ = 109964288. Its totient is φ = 92779344.

The previous prime is 101310301. The next prime is 101310353. The reversal of 101310313 is 313013101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 101310313 - 2⁵ = 101310281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101310293 and 101310302.

It is not an unprimeable number, because it can be changed into a prime (101310353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29031 + ... + 32332.

It is an arithmetic number, because the mean of its divisors is an integer number (13745536).

Almost surely, 2^101310313 is an apocalyptic number.

101310313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101310313 is a deficient number, since it is larger than the sum of its proper divisors (8653975).

101310313 is a wasteful number, since it uses less digits than its factorization.

101310313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61503.

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

The square root of 101310313 is about 10065.3024296342. The cubic root of 101310313 is about 466.1774039497.

Adding to 101310313 its reverse (313013101), we get a palindrome (414323414).

The spelling of 101310313 in words is "one hundred one million, three hundred ten thousand, three hundred thirteen".