101100312313 has 16 divisors (see below), whose sum is σ = 135743078016. Its totient is φ = 72719504640.

The previous prime is 101100312259. The next prime is 101100312323. The reversal of 101100312313 is 313213001101.

It is a cyclic number.

It is not a de Polignac number, because 101100312313 - 2⁹ = 101100311801 is a prime.

It is a super-2 number, since 2×101100312313² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101100312323) 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 15 ways as a sum of consecutive naturals, for example, 50498656 + ... + 50500657.

It is an arithmetic number, because the mean of its divisors is an integer number (8483942376).

Almost surely, 2^101100312313 is an apocalyptic number.

101100312313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101100312313 is a deficient number, since it is larger than the sum of its proper divisors (34642765703).

101100312313 is a wasteful number, since it uses less digits than its factorization.

101100312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100999344.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101100312313 its reverse (313213001101), we get a palindrome (414313313414).

The spelling of 101100312313 in words is "one hundred one billion, one hundred million, three hundred twelve thousand, three hundred thirteen".