101101312313 has 8 divisors (see below), whose sum is σ = 106832428800. Its totient is φ = 95481479808.

The previous prime is 101101312309. The next prime is 101101312339. The reversal of 101101312313 is 313213101101.

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 101101312313 - 2² = 101101312309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101312291 and 101101312300.

It is not an unprimeable number, because it can be changed into a prime (101101332313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27819128 + ... + 27822761.

It is an arithmetic number, because the mean of its divisors is an integer number (13354053600).

Almost surely, 2^101101312313 is an apocalyptic number.

It is an amenable number.

101101312313 is a deficient number, since it is larger than the sum of its proper divisors (5731116487).

101101312313 is an equidigital number, since it uses as much as digits as its factorization.

101101312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55641991.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101101312313 its reverse (313213101101), we get a palindrome (414314413414).

The spelling of 101101312313 in words is "one hundred one billion, one hundred one million, three hundred twelve thousand, three hundred thirteen".