1313122012013 has 8 divisors (see below), whose sum is σ = 1500727734528. Its totient is φ = 1125520505424.

The previous prime is 1313122012003. The next prime is 1313122012031. The reversal of 1313122012013 is 3102102213131.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1313122012013 - 2⁴ = 1313122011997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313122012003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355706 + ... + 1659147.

It is an arithmetic number, because the mean of its divisors is an integer number (187590966816).

Almost surely, 2^{1313122012013} is an apocalyptic number.

It is an amenable number.

1313122012013 is a deficient number, since it is larger than the sum of its proper divisors (187605722515).

1313122012013 is an equidigital number, since it uses as much as digits as its factorization.

1313122012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107963.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1313122012013 its reverse (3102102213131), we get a palindrome (4415224225144).

The spelling of 1313122012013 in words is "one trillion, three hundred thirteen billion, one hundred twenty-two million, twelve thousand, thirteen".