1301311313201 has 2 divisors, whose sum is σ = 1301311313202. Its totient is φ = 1301311313200.

The previous prime is 1301311313177. The next prime is 1301311313233. The reversal of 1301311313201 is 1023131131031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1268450325025 + 32860988176 = 1126255^2 + 181276^2 .

It is an emirp because it is prime and its reverse (1023131131031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1301311313201 is a prime.

It is a super-2 number, since 2×1301311313201² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1301311313101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650655656600 + 650655656601.

It is an arithmetic number, because the mean of its divisors is an integer number (650655656601).

Almost surely, 2^{1301311313201} is an apocalyptic number.

It is an amenable number.

1301311313201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1301311313201 is an equidigital number, since it uses as much as digits as its factorization.

1301311313201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1301311313201 its reverse (1023131131031), we get a palindrome (2324442444232).

The spelling of 1301311313201 in words is "one trillion, three hundred one billion, three hundred eleven million, three hundred thirteen thousand, two hundred one".