123000013123001 has 12 divisors (see below), whose sum is σ = 143112266984052. Its totient is φ = 105406021260288.

The previous prime is 123000013122997. The next prime is 123000013123021. The reversal of 123000013123001 is 100321310000321.

It can be written as a sum of positive squares in 2 ways, for example, as 78018779814976 + 44981233308025 = 8832824^2 + 6706805^2 .

It is not a de Polignac number, because 123000013123001 - 2² = 123000013122997 is a prime.

It is a super-3 number, since 3×123000013123001³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123000013123021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268356980 + ... + 268814933.

It is an arithmetic number, because the mean of its divisors is an integer number (11926022248671).

Almost surely, 2^{123000013123001} is an apocalyptic number.

It is an amenable number.

123000013123001 is a deficient number, since it is larger than the sum of its proper divisors (20112253861051).

123000013123001 is an equidigital number, since it uses as much as digits as its factorization.

123000013123001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537176600 (or 537176593 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 123000013123001 its reverse (100321310000321), we get a palindrome (223321323123322).

The spelling of 123000013123001 in words is "one hundred twenty-three trillion, thirteen million, one hundred twenty-three thousand, one".