100123123013 has 2 divisors, whose sum is σ = 100123123014. Its totient is φ = 100123123012.

The previous prime is 100123122997. The next prime is 100123123033. The reversal of 100123123013 is 310321321001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89127922849 + 10995200164 = 298543^2 + 104858^2 .

It is a cyclic number.

It is not a de Polignac number, because 100123123013 - 2⁴ = 100123122997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100123122982 and 100123123000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100123123033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061561506 + 50061561507.

It is an arithmetic number, because the mean of its divisors is an integer number (50061561507).

Almost surely, 2^100123123013 is an apocalyptic number.

It is an amenable number.

100123123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100123123013 is an equidigital number, since it uses as much as digits as its factorization.

100123123013 is an evil number, because the sum of its binary digits is even.

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

Adding to 100123123013 its reverse (310321321001), we get a palindrome (410444444014).

The spelling of 100123123013 in words is "one hundred billion, one hundred twenty-three million, one hundred twenty-three thousand, thirteen".