10100013 has 32 divisors (see below), whose sum is σ = 17528832. Its totient is φ = 5016000.

The previous prime is 10100011. The next prime is 10100047. The reversal of 10100013 is 31000101.

10100013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100013 - 2¹ = 10100011 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10099974 and 10100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4363 + ... + 6263.

It is an arithmetic number, because the mean of its divisors is an integer number (547776).

Almost surely, 2^10100013 is an apocalyptic number.

It is an amenable number.

10100013 is a deficient number, since it is larger than the sum of its proper divisors (7428819).

10100013 is a wasteful number, since it uses less digits than its factorization.

10100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 10100013 is about 3178.0517616930. The cubic root of 10100013 is about 216.1593260361.

Adding to 10100013 its reverse (31000101), we get a palindrome (41100114).

The spelling of 10100013 in words is "ten million, one hundred thousand, thirteen".