1310020333013 has 24 divisors (see below), whose sum is σ = 1615818979800. Its totient is φ = 1055332067328.

The previous prime is 1310020333003. The next prime is 1310020333033. The reversal of 1310020333013 is 3103330200131.

It can be written as a sum of positive squares in 4 ways, for example, as 392405774929 + 917614558084 = 626423^2 + 957922^2 .

It is not a de Polignac number, because 1310020333013 - 2⁴ = 1310020332997 is a prime.

It is a super-4 number, since 4×1310020333013⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310020333003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518468 + ... + 1699661.

It is an arithmetic number, because the mean of its divisors is an integer number (67325790825).

Almost surely, 2^{1310020333013} is an apocalyptic number.

It is an amenable number.

1310020333013 is a deficient number, since it is larger than the sum of its proper divisors (305798646787).

1310020333013 is a wasteful number, since it uses less digits than its factorization.

1310020333013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218869 (or 2218862 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1310020333013 its reverse (3103330200131), we get a palindrome (4413350533144).

The spelling of 1310020333013 in words is "one trillion, three hundred ten billion, twenty million, three hundred thirty-three thousand, thirteen".