123101010310313 has 32 divisors (see below), whose sum is σ = 145186925184000. Its totient is φ = 104318172870912.

The previous prime is 123101010310301. The next prime is 123101010310339. The reversal of 123101010310313 is 313013010101321.

It is not a de Polignac number, because 123101010310313 - 2²² = 123101006116009 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123101010310373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284814656 + ... + 285246542.

It is an arithmetic number, because the mean of its divisors is an integer number (4537091412000).

Almost surely, 2^{123101010310313} is an apocalyptic number.

It is an amenable number.

123101010310313 is a deficient number, since it is larger than the sum of its proper divisors (22085914873687).

123101010310313 is an frugal number, since it uses more digits than its factorization.

123101010310313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441334 (or 441320 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 123101010310313 its reverse (313013010101321), we get a palindrome (436114020411634).

The spelling of 123101010310313 in words is "one hundred twenty-three trillion, one hundred one billion, ten million, three hundred ten thousand, three hundred thirteen".