100000101313123 has 16 divisors (see below), whose sum is σ = 111038319702144. Its totient is φ = 89294253428160.

The previous prime is 100000101313121. The next prime is 100000101313139. The reversal of 100000101313123 is 321313101000001.

It is not a de Polignac number, because 100000101313123 - 2¹ = 100000101313121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100000101313097 and 100000101313106.

It is not an unprimeable number, because it can be changed into a prime (100000101313121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195256290 + ... + 195767767.

It is an arithmetic number, because the mean of its divisors is an integer number (6939894981384).

Almost surely, 2^{100000101313123} is an apocalyptic number.

100000101313123 is a deficient number, since it is larger than the sum of its proper divisors (11038218389021).

100000101313123 is a wasteful number, since it uses less digits than its factorization.

100000101313123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391024482.

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

Adding to 100000101313123 its reverse (321313101000001), we get a palindrome (421313202313124).

The spelling of 100000101313123 in words is "one hundred trillion, one hundred one million, three hundred thirteen thousand, one hundred twenty-three".