100213313 has 2 divisors, whose sum is σ = 100213314. Its totient is φ = 100213312.

The previous prime is 100213303. The next prime is 100213331. The reversal of 100213313 is 313312001.

Together with next prime (100213331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74528689 + 25684624 = 8633^2 + 5068^2 .

It is a cyclic number.

It is not a de Polignac number, because 100213313 - 2¹⁶ = 100147777 is a prime.

It is not a weakly prime, because it can be changed into another prime (100213303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106656 + 50106657.

It is an arithmetic number, because the mean of its divisors is an integer number (50106657).

Almost surely, 2^100213313 is an apocalyptic number.

It is an amenable number.

100213313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100213313 is an equidigital number, since it uses as much as digits as its factorization.

100213313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 100213313 is about 10010.6599682538. The cubic root of 100213313 is about 464.4886860479.

Adding to 100213313 its reverse (313312001), we get a palindrome (413525314).

The spelling of 100213313 in words is "one hundred million, two hundred thirteen thousand, three hundred thirteen".