100002123313 has 4 divisors (see below), whose sum is σ = 100002783220. Its totient is φ = 100001463408.

The previous prime is 100002123311. The next prime is 100002123341. The reversal of 100002123313 is 313321200001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 96576128289 + 3425995024 = 310767^2 + 58532^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002123313 - 2¹ = 100002123311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100002123311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23731 + ... + 447847.

It is an arithmetic number, because the mean of its divisors is an integer number (25000695805).

Almost surely, 2^100002123313 is an apocalyptic number.

It is an amenable number.

100002123313 is a deficient number, since it is larger than the sum of its proper divisors (659907).

100002123313 is an equidigital number, since it uses as much as digits as its factorization.

100002123313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659906.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100002123313 its reverse (313321200001), we get a palindrome (413323323314).

The spelling of 100002123313 in words is "one hundred billion, two million, one hundred twenty-three thousand, three hundred thirteen".