1002130133313 has 16 divisors (see below), whose sum is σ = 1406527380800. Its totient is φ = 632911268160.

The previous prime is 1002130133261. The next prime is 1002130133321. The reversal of 1002130133313 is 3133310312001.

It is not a de Polignac number, because 1002130133313 - 2¹⁴ = 1002130116929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002130133313.

It is not an unprimeable number, because it can be changed into a prime (1002130133353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3144243 + ... + 3448263.

It is an arithmetic number, because the mean of its divisors is an integer number (87907961300).

Almost surely, 2^{1002130133313} is an apocalyptic number.

It is an amenable number.

1002130133313 is a deficient number, since it is larger than the sum of its proper divisors (404397247487).

1002130133313 is a wasteful number, since it uses less digits than its factorization.

1002130133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361872.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1002130133313 its reverse (3133310312001), we get a palindrome (4135440445314).

The spelling of 1002130133313 in words is "one trillion, two billion, one hundred thirty million, one hundred thirty-three thousand, three hundred thirteen".