123100113301 has 32 divisors (see below), whose sum is σ = 137412495360. Its totient is φ = 109346611200.

The previous prime is 123100113281. The next prime is 123100113419. The reversal of 123100113301 is 103311001321.

It is a cyclic number.

It is not a de Polignac number, because 123100113301 - 2¹⁹ = 123099589013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123100113701) 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 31 ways as a sum of consecutive naturals, for example, 27917985 + ... + 27922393.

It is an arithmetic number, because the mean of its divisors is an integer number (4294140480).

Almost surely, 2^123100113301 is an apocalyptic number.

123100113301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123100113301 is a deficient number, since it is larger than the sum of its proper divisors (14312382059).

123100113301 is a wasteful number, since it uses less digits than its factorization.

123100113301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845.

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

Adding to 123100113301 its reverse (103311001321), we get a palindrome (226411114622).

The spelling of 123100113301 in words is "one hundred twenty-three billion, one hundred million, one hundred thirteen thousand, three hundred one".