413041012001021 has 2 divisors, whose sum is σ = 413041012001022. Its totient is φ = 413041012001020.

The previous prime is 413041012001011. The next prime is 413041012001161. The reversal of 413041012001021 is 120100210140314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 380116241764900 + 32924770236121 = 19496570^2 + 5738011^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413041012001021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413041012000984 and 413041012001002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413041012001011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206520506000510 + 206520506000511.

It is an arithmetic number, because the mean of its divisors is an integer number (206520506000511).

Almost surely, 2^{413041012001021} is an apocalyptic number.

It is an amenable number.

413041012001021 is a deficient number, since it is larger than the sum of its proper divisors (1).

413041012001021 is an equidigital number, since it uses as much as digits as its factorization.

413041012001021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 413041012001021 its reverse (120100210140314), we get a palindrome (533141222141335).

The spelling of 413041012001021 in words is "four hundred thirteen trillion, forty-one billion, twelve million, one thousand, twenty-one".