100010513 has 4 divisors (see below), whose sum is σ = 100044528. Its totient is φ = 99976500.

The previous prime is 100010497. The next prime is 100010527. The reversal of 100010513 is 315010001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100010513 - 2⁴ = 100010497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010494 and 100010503.

It is not an unprimeable number, because it can be changed into a prime (100040513) 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, 12131 + ... + 18632.

It is an arithmetic number, because the mean of its divisors is an integer number (25011132).

Almost surely, 2^100010513 is an apocalyptic number.

It is an amenable number.

100010513 is a deficient number, since it is larger than the sum of its proper divisors (34015).

100010513 is an equidigital number, since it uses as much as digits as its factorization.

100010513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34014.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 100010513 is about 10000.5256361853. The cubic root of 100010513 is about 464.1751484658.

Adding to 100010513 its reverse (315010001), we get a palindrome (415020514).

The spelling of 100010513 in words is "one hundred million, ten thousand, five hundred thirteen".