313000100101 has 32 divisors (see below), whose sum is σ = 358212516480. Its totient is φ = 271110240000.

The previous prime is 313000100093. The next prime is 313000100107. The reversal of 313000100101 is 101001000313.

It is not a de Polignac number, because 313000100101 - 2³ = 313000100093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313000100107) 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 31 ways as a sum of consecutive naturals, for example, 11207511 + ... + 11235403.

It is an arithmetic number, because the mean of its divisors is an integer number (11194141140).

Almost surely, 2^313000100101 is an apocalyptic number.

It is an amenable number.

313000100101 is a deficient number, since it is larger than the sum of its proper divisors (45212416379).

313000100101 is a wasteful number, since it uses less digits than its factorization.

313000100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28357.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 313000100101 its reverse (101001000313), we get a palindrome (414001100414).

The spelling of 313000100101 in words is "three hundred thirteen billion, one hundred thousand, one hundred one".