1301010311313 has 24 divisors (see below), whose sum is σ = 1899398192640. Its totient is φ = 858052103040.

The previous prime is 1301010311269. The next prime is 1301010311327. The reversal of 1301010311313 is 3131130101031.

1301010311313 is a `hidden beast` number, since 1 + 30 + 1 + 0 + 10 + 311 + 313 = 666.

It is not a de Polignac number, because 1301010311313 - 2⁸ = 1301010311057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1301010311113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210553 + ... + 1626761.

It is an arithmetic number, because the mean of its divisors is an integer number (79141591360).

Almost surely, 2^{1301010311313} is an apocalyptic number.

It is an amenable number.

1301010311313 is a deficient number, since it is larger than the sum of its proper divisors (598387881327).

1301010311313 is a wasteful number, since it uses less digits than its factorization.

1301010311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417309 (or 1417306 counting only the distinct ones).

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

Adding to 1301010311313 its reverse (3131130101031), we get a palindrome (4432140412344).

The spelling of 1301010311313 in words is "one trillion, three hundred one billion, ten million, three hundred eleven thousand, three hundred thirteen".