1313313233013 has 48 divisors (see below), whose sum is σ = 2034245070000. Its totient is φ = 813571153920.

The previous prime is 1313313232909. The next prime is 1313313233041. The reversal of 1313313233013 is 3103323133131.

1313313233013 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 31 + 323 + 301 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 421982758404 + 891330474609 = 649602^2 + 944103^2 .

It is not a de Polignac number, because 1313313233013 - 2¹² = 1313313228917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313313233053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4546113 + ... + 4826361.

It is an arithmetic number, because the mean of its divisors is an integer number (42380105625).

Almost surely, 2^{1313313233013} is an apocalyptic number.

It is an amenable number.

1313313233013 is a deficient number, since it is larger than the sum of its proper divisors (720931836987).

1313313233013 is a wasteful number, since it uses less digits than its factorization.

1313313233013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280662 (or 280659 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1313313233013 its reverse (3103323133131), we get a palindrome (4416636366144).

The spelling of 1313313233013 in words is "one trillion, three hundred thirteen billion, three hundred thirteen million, two hundred thirty-three thousand, thirteen".