1301312112313 has 2 divisors, whose sum is σ = 1301312112314. Its totient is φ = 1301312112312.

The previous prime is 1301312112259. The next prime is 1301312112473. The reversal of 1301312112313 is 3132112131031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1142104728249 + 159207384064 = 1068693^2 + 399008^2 .

It is a cyclic number.

It is not a de Polignac number, because 1301312112313 - 2³⁷ = 1163873158841 is a prime.

It is a super-3 number, since 3×1301312112313³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1301312112613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650656056156 + 650656056157.

It is an arithmetic number, because the mean of its divisors is an integer number (650656056157).

Almost surely, 2^{1301312112313} is an apocalyptic number.

It is an amenable number.

1301312112313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1301312112313 is an equidigital number, since it uses as much as digits as its factorization.

1301312112313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1301312112313 its reverse (3132112131031), we get a palindrome (4433424243344).

The spelling of 1301312112313 in words is "one trillion, three hundred one billion, three hundred twelve million, one hundred twelve thousand, three hundred thirteen".