100513823 has 2 divisors, whose sum is σ = 100513824. Its totient is φ = 100513822.

The previous prime is 100513817. The next prime is 100513891. The reversal of 100513823 is 328315001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100513823 - 2⁴ = 100513807 is a prime.

It is a super-2 number, since 2×100513823² = 20206057228150658, which contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100513723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50256911 + 50256912.

It is an arithmetic number, because the mean of its divisors is an integer number (50256912).

Almost surely, 2^100513823 is an apocalyptic number.

100513823 is a deficient number, since it is larger than the sum of its proper divisors (1).

100513823 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 9 representation: 100513823 = (230118035)₉.

100513823 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 100513823 is about 10025.6582327546. The cubic root of 100513823 is about 464.9525106626.

Adding to 100513823 its reverse (328315001), we get a palindrome (428828824).

The spelling of 100513823 in words is "one hundred million, five hundred thirteen thousand, eight hundred twenty-three".