10100413 has 4 divisors (see below), whose sum is σ = 10110748. Its totient is φ = 10090080.

The previous prime is 10100407. The next prime is 10100423. The reversal of 10100413 is 31400101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 9972964 + 127449 = 3158^2 + 357^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100413 - 2¹³ = 10092221 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100423) 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, 3528 + ... + 5713.

It is an arithmetic number, because the mean of its divisors is an integer number (2527687).

Almost surely, 2^10100413 is an apocalyptic number.

It is an amenable number.

10100413 is a deficient number, since it is larger than the sum of its proper divisors (10335).

10100413 is an equidigital number, since it uses as much as digits as its factorization.

10100413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10334.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10100413 is about 3178.1146927070. The cubic root of 10100413 is about 216.1621795832.

Adding to 10100413 its reverse (31400101), we get a palindrome (41500514).

The spelling of 10100413 in words is "ten million, one hundred thousand, four hundred thirteen".