100513523 has 4 divisors (see below), whose sum is σ = 109651128. Its totient is φ = 91375920.

The previous prime is 100513499. The next prime is 100513529. The reversal of 100513523 is 325315001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 325315001 = 11 ⋅29574091.

It is a cyclic number.

It is not a de Polignac number, because 100513523 - 2⁸ = 100513267 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100513495 and 100513504.

It is not an unprimeable number, because it can be changed into a prime (100513529) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4568786 + ... + 4568807.

It is an arithmetic number, because the mean of its divisors is an integer number (27412782).

Almost surely, 2^100513523 is an apocalyptic number.

100513523 is a deficient number, since it is larger than the sum of its proper divisors (9137605).

100513523 is an equidigital number, since it uses as much as digits as its factorization.

100513523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9137604.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 100513523 is about 10025.6432711323. The cubic root of 100513523 is about 464.9520480864.

Adding to 100513523 its reverse (325315001), we get a palindrome (425828524).

The spelling of 100513523 in words is "one hundred million, five hundred thirteen thousand, five hundred twenty-three".