413020213013 has 2 divisors, whose sum is σ = 413020213014. Its totient is φ = 413020213012.

The previous prime is 413020212973. The next prime is 413020213079. The reversal of 413020213013 is 310312020314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 394091406289 + 18928806724 = 627767^2 + 137582^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413020213013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413023213013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206510106506 + 206510106507.

It is an arithmetic number, because the mean of its divisors is an integer number (206510106507).

Almost surely, 2^413020213013 is an apocalyptic number.

It is an amenable number.

413020213013 is a deficient number, since it is larger than the sum of its proper divisors (1).

413020213013 is an equidigital number, since it uses as much as digits as its factorization.

413020213013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 413020213013 its reverse (310312020314), we get a palindrome (723332233327).

The spelling of 413020213013 in words is "four hundred thirteen billion, twenty million, two hundred thirteen thousand, thirteen".