1327417013 has 12 divisors (see below), whose sum is σ = 1447938828. Its totient is φ = 1209723840.

The previous prime is 1327416997. The next prime is 1327417033. The reversal of 1327417013 is 3107147231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 338817649 + 988599364 = 18407^2 + 31442^2 .

It is not a de Polignac number, because 1327417013 - 2⁴ = 1327416997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327417033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72953 + ... + 89313.

It is an arithmetic number, because the mean of its divisors is an integer number (120661569).

Almost surely, 2^1327417013 is an apocalyptic number.

1327417013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1327417013 is a deficient number, since it is larger than the sum of its proper divisors (120521815).

1327417013 is an equidigital number, since it uses as much as digits as its factorization.

1327417013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16532 (or 16453 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 1327417013 is about 36433.7345464337. The cubic root of 1327417013 is about 1099.0120642170.

The spelling of 1327417013 in words is "one billion, three hundred twenty-seven million, four hundred seventeen thousand, thirteen".