1002013121313 has 48 divisors (see below), whose sum is σ = 1501736371200. Its totient is φ = 643048922880.

The previous prime is 1002013121269. The next prime is 1002013121387. The reversal of 1002013121313 is 3131213102001.

1002013121313 is a `hidden beast` number, since 100 + 201 + 31 + 21 + 313 = 666.

It is not a de Polignac number, because 1002013121313 - 2²⁵ = 1001979566881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002013121413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147807958 + ... + 147814736.

It is an arithmetic number, because the mean of its divisors is an integer number (31286174400).

Almost surely, 2^{1002013121313} is an apocalyptic number.

It is an amenable number.

1002013121313 is a deficient number, since it is larger than the sum of its proper divisors (499723249887).

1002013121313 is a wasteful number, since it uses less digits than its factorization.

1002013121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8422 (or 8419 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1002013121313 its reverse (3131213102001), we get a palindrome (4133226223314).

The spelling of 1002013121313 in words is "one trillion, two billion, thirteen million, one hundred twenty-one thousand, three hundred thirteen".