1301220012313 has 16 divisors (see below), whose sum is σ = 1451679944400. Its totient is φ = 1158072088320.

The previous prime is 1301220012277. The next prime is 1301220012329. The reversal of 1301220012313 is 3132100221031.

It can be written as a sum of positive squares in 8 ways, for example, as 362003178889 + 939216833424 = 601667^2 + 969132^2 .

It is a cyclic number.

It is not a de Polignac number, because 1301220012313 - 2²⁵ = 1301186457881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1301220042313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2166778 + ... + 2701363.

It is an arithmetic number, because the mean of its divisors is an integer number (90729996525).

Almost surely, 2^{1301220012313} is an apocalyptic number.

1301220012313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1301220012313 is a deficient number, since it is larger than the sum of its proper divisors (150459932087).

1301220012313 is a wasteful number, since it uses less digits than its factorization.

1301220012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868892.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1301220012313 its reverse (3132100221031), we get a palindrome (4433320233344).

The spelling of 1301220012313 in words is "one trillion, three hundred one billion, two hundred twenty million, twelve thousand, three hundred thirteen".