1311301003013 has 16 divisors (see below), whose sum is σ = 1381508835840. Its totient is φ = 1243009641600.

The previous prime is 1311301002983. The next prime is 1311301003021. The reversal of 1311301003013 is 3103001031131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1311301003013 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1311301002982 and 1311301003000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311301009013) 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 15 ways as a sum of consecutive naturals, for example, 489608 + ... + 1691838.

It is an arithmetic number, because the mean of its divisors is an integer number (86344302240).

Almost surely, 2^{1311301003013} is an apocalyptic number.

It is an amenable number.

1311301003013 is a deficient number, since it is larger than the sum of its proper divisors (70207832827).

1311301003013 is a wasteful number, since it uses less digits than its factorization.

1311301003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203028.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 1311301003013 its reverse (3103001031131), we get a palindrome (4414302034144).

The spelling of 1311301003013 in words is "one trillion, three hundred eleven billion, three hundred one million, three thousand, thirteen".