1313321331213 has 24 divisors (see below), whose sum is σ = 1998799932480. Its totient is φ = 828661466880.

The previous prime is 1313321331187. The next prime is 1313321331233. The reversal of 1313321331213 is 3121331233131.

1313321331213 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 321 + 331 + 2 + 1 + 3 = 666.

It is not a de Polignac number, because 1313321331213 - 2¹⁴ = 1313321314829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313321331233) 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, 3548356 + ... + 3900957.

It is an arithmetic number, because the mean of its divisors is an integer number (83283330520).

Almost surely, 2^{1313321331213} is an apocalyptic number.

It is an amenable number.

1313321331213 is a deficient number, since it is larger than the sum of its proper divisors (685478601267).

1313321331213 is a wasteful number, since it uses less digits than its factorization.

1313321331213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7450369 (or 7450366 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 1313321331213 its reverse (3121331233131), we get a palindrome (4434652564344).

The spelling of 1313321331213 in words is "one trillion, three hundred thirteen billion, three hundred twenty-one million, three hundred thirty-one thousand, two hundred thirteen".