2002132221313 has 8 divisors (see below), whose sum is σ = 2289374081280. Its totient is φ = 1715196104160.

The previous prime is 2002132221283. The next prime is 2002132221329. The reversal of 2002132221313 is 3131222312002.

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

It is not a de Polignac number, because 2002132221313 - 2⁹ = 2002132220801 is a prime.

It is a super-3 number, since 3×2002132221313³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002132221613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76421668 + ... + 76447861.

It is an arithmetic number, because the mean of its divisors is an integer number (286171760160).

Almost surely, 2^{2002132221313} is an apocalyptic number.

It is an amenable number.

2002132221313 is a deficient number, since it is larger than the sum of its proper divisors (287241859967).

2002132221313 is a wasteful number, since it uses less digits than its factorization.

2002132221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152871407.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2002132221313 its reverse (3131222312002), we get a palindrome (5133354533315).

The spelling of 2002132221313 in words is "two trillion, two billion, one hundred thirty-two million, two hundred twenty-one thousand, three hundred thirteen".