1301010131313 has 20 divisors (see below), whose sum is σ = 1946624061360. Its totient is φ = 865938858552.

The previous prime is 1301010131249. The next prime is 1301010131363. The reversal of 1301010131313 is 3131310101031.

It is not a de Polignac number, because 1301010131313 - 2⁶ = 1301010131249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1301010131363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12923895 + ... + 13024172.

It is an arithmetic number, because the mean of its divisors is an integer number (97331203068).

Almost surely, 2^{1301010131313} is an apocalyptic number.

It is an amenable number.

1301010131313 is a deficient number, since it is larger than the sum of its proper divisors (645613930047).

1301010131313 is an equidigital number, since it uses as much as digits as its factorization.

1301010131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25948698 (or 25948689 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1301010131313 its reverse (3131310101031), we get a palindrome (4432320232344).

The spelling of 1301010131313 in words is "one trillion, three hundred one billion, ten million, one hundred thirty-one thousand, three hundred thirteen".