20100413 has 6 divisors (see below), whose sum is σ = 21012894. Its totient is φ = 19225976.

The previous prime is 20100403. The next prime is 20100419. The reversal of 20100413 is 31400102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 19909444 + 190969 = 4462^2 + 437^2 .

It is not a de Polignac number, because 20100413 - 2⁴ = 20100397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20100394 and 20100403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100419) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18470 + ... + 19527.

It is an arithmetic number, because the mean of its divisors is an integer number (3502149).

Almost surely, 2^20100413 is an apocalyptic number.

20100413 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20100413 is a deficient number, since it is larger than the sum of its proper divisors (912481).

20100413 is an equidigital number, since it uses as much as digits as its factorization.

20100413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38043 (or 38020 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 20100413 is about 4483.3484138532. The cubic root of 20100413 is about 271.8952748873.

Adding to 20100413 its reverse (31400102), we get a palindrome (51500515).

The spelling of 20100413 in words is "twenty million, one hundred thousand, four hundred thirteen".