1313021002013 has 16 divisors (see below), whose sum is σ = 1579625040000. Its totient is φ = 1066178184192.

The previous prime is 1313021001931. The next prime is 1313021002031. The reversal of 1313021002013 is 3102001203131.

It is a cyclic number.

It is not a de Polignac number, because 1313021002013 - 2¹⁶ = 1313020936477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313021001982 and 1313021002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313021002093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4493273 + ... + 4776561.

It is an arithmetic number, because the mean of its divisors is an integer number (98726565000).

Almost surely, 2^{1313021002013} is an apocalyptic number.

It is an amenable number.

1313021002013 is a deficient number, since it is larger than the sum of its proper divisors (266604037987).

1313021002013 is a wasteful number, since it uses less digits than its factorization.

1313021002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318164.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1313021002013 its reverse (3102001203131), we get a palindrome (4415022205144).

The spelling of 1313021002013 in words is "one trillion, three hundred thirteen billion, twenty-one million, two thousand, thirteen".