100314013 has 2 divisors, whose sum is σ = 100314014. Its totient is φ = 100314012.

The previous prime is 100314007. The next prime is 100314023. The reversal of 100314013 is 310413001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69255684 + 31058329 = 8322^2 + 5573^2 .

It is a cyclic number.

It is not a de Polignac number, because 100314013 - 2¹⁷ = 100182941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100313984 and 100314002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100314023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50157006 + 50157007.

It is an arithmetic number, because the mean of its divisors is an integer number (50157007).

Almost surely, 2^100314013 is an apocalyptic number.

It is an amenable number.

100314013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100314013 is an equidigital number, since it uses as much as digits as its factorization.

100314013 is an evil number, because the sum of its binary digits is even.

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

The square root of 100314013 is about 10015.6883437935. The cubic root of 100314013 is about 464.6442154581.

Adding to 100314013 its reverse (310413001), we get a palindrome (410727014).

The spelling of 100314013 in words is "one hundred million, three hundred fourteen thousand, thirteen".