100213583 has 2 divisors, whose sum is σ = 100213584. Its totient is φ = 100213582.

The previous prime is 100213511. The next prime is 100213601. The reversal of 100213583 is 385312001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100213583 - 2¹⁴ = 100197199 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100212583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106791 + 50106792.

It is an arithmetic number, because the mean of its divisors is an integer number (50106792).

Almost surely, 2^100213583 is an apocalyptic number.

100213583 is a deficient number, since it is larger than the sum of its proper divisors (1).

100213583 is an equidigital number, since it uses as much as digits as its factorization.

100213583 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 100213583 is about 10010.6734538691. The cubic root of 100213583 is about 464.4891031975.

Adding to 100213583 its reverse (385312001), we get a palindrome (485525584).

The spelling of 100213583 in words is "one hundred million, two hundred thirteen thousand, five hundred eighty-three".