413111440100021 has 16 divisors (see below), whose sum is σ = 448149570495984. Its totient is φ = 378539231752704.

The previous prime is 413111440100011. The next prime is 413111440100027. The reversal of 413111440100021 is 120001044111314.

It can be written as a sum of positive squares in 8 ways, for example, as 2223337459396 + 410888102640625 = 1491086^2 + 20270375^2 .

It is a cyclic number.

It is not a de Polignac number, because 413111440100021 - 2²⁶ = 413111372991157 is a prime.

It is a super-2 number, since 2×413111440100021² (a number of 30 digits) contains 22 as substring.

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 413111440100021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413111440100027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58565411 + ... + 65239023.

It is an arithmetic number, because the mean of its divisors is an integer number (28009348155999).

Almost surely, 2^{413111440100021} is an apocalyptic number.

It is an amenable number.

413111440100021 is a deficient number, since it is larger than the sum of its proper divisors (35038130395963).

413111440100021 is a wasteful number, since it uses less digits than its factorization.

413111440100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708520.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 413111440100021 its reverse (120001044111314), we get a palindrome (533112484211335).

The spelling of 413111440100021 in words is "four hundred thirteen trillion, one hundred eleven billion, four hundred forty million, one hundred thousand, twenty-one".