100002123013 has 8 divisors (see below), whose sum is σ = 108156805848. Its totient is φ = 91913470464.

The previous prime is 100002123007. The next prime is 100002123031. The reversal of 100002123013 is 310321200001.

It can be written as a sum of positive squares in 4 ways, for example, as 207417604 + 99794705409 = 14402^2 + 315903^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100002123013 - 2²⁹ = 99465252101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100002122984 and 100002123002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002123073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16504420 + ... + 16510477.

It is an arithmetic number, because the mean of its divisors is an integer number (13519600731).

Almost surely, 2^100002123013 is an apocalyptic number.

100002123013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100002123013 is a deficient number, since it is larger than the sum of its proper divisors (8154682835).

100002123013 is a wasteful number, since it uses less digits than its factorization.

100002123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33015143.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100002123013 its reverse (310321200001), we get a palindrome (410323323014).

The spelling of 100002123013 in words is "one hundred billion, two million, one hundred twenty-three thousand, thirteen".