10413222213013 has 2 divisors, whose sum is σ = 10413222213014. Its totient is φ = 10413222213012.

The previous prime is 10413222212969. The next prime is 10413222213113. The reversal of 10413222213013 is 31031222231401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8996022439569 + 1417199773444 = 2999337^2 + 1190462^2 .

It is a cyclic number.

It is not a de Polignac number, because 10413222213013 - 2⁹ = 10413222212501 is a prime.

It is a super-2 number, since 2×10413222213013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10413222213113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5206611106506 + 5206611106507.

It is an arithmetic number, because the mean of its divisors is an integer number (5206611106507).

Almost surely, 2^{10413222213013} is an apocalyptic number.

It is an amenable number.

10413222213013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10413222213013 is an equidigital number, since it uses as much as digits as its factorization.

10413222213013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10413222213013 its reverse (31031222231401), we get a palindrome (41444444444414).

The spelling of 10413222213013 in words is "ten trillion, four hundred thirteen billion, two hundred twenty-two million, two hundred thirteen thousand, thirteen".