413021011321 has 2 divisors, whose sum is σ = 413021011322. Its totient is φ = 413021011320.

The previous prime is 413021011313. The next prime is 413021011349. The reversal of 413021011321 is 123110120314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 388234917225 + 24786094096 = 623085^2 + 157436^2 .

It is a cyclic number.

It is not a de Polignac number, because 413021011321 - 2³ = 413021011313 is a prime.

It is a super-2 number, since 2×413021011321² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (413021011301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206510505660 + 206510505661.

It is an arithmetic number, because the mean of its divisors is an integer number (206510505661).

Almost surely, 2^413021011321 is an apocalyptic number.

It is an amenable number.

413021011321 is a deficient number, since it is larger than the sum of its proper divisors (1).

413021011321 is an equidigital number, since it uses as much as digits as its factorization.

413021011321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 413021011321 its reverse (123110120314), we get a palindrome (536131131635).

The spelling of 413021011321 in words is "four hundred thirteen billion, twenty-one million, eleven thousand, three hundred twenty-one".