100045313 has 2 divisors, whose sum is σ = 100045314. Its totient is φ = 100045312.

The previous prime is 100045261. The next prime is 100045333. The reversal of 100045313 is 313540001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72880369 + 27164944 = 8537^2 + 5212^2 .

It is a cyclic number.

It is not a de Polignac number, because 100045313 - 2⁶ = 100045249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100045291 and 100045300.

It is not a weakly prime, because it can be changed into another prime (100045333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50022656 + 50022657.

It is an arithmetic number, because the mean of its divisors is an integer number (50022657).

Almost surely, 2^100045313 is an apocalyptic number.

It is an amenable number.

100045313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100045313 is an equidigital number, since it uses as much as digits as its factorization.

100045313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 100045313 is about 10002.2653933996. The cubic root of 100045313 is about 464.2289808795.

Adding to 100045313 its reverse (313540001), we get a palindrome (413585314).

The spelling of 100045313 in words is "one hundred million, forty-five thousand, three hundred thirteen".