20002121333313 has 64 divisors (see below), whose sum is σ = 30928073172480. Its totient is φ = 11263118211072.

The previous prime is 20002121333263. The next prime is 20002121333399. The reversal of 20002121333313 is 31333312120002.

It is a de Polignac number, because none of the positive numbers 2^k-20002121333313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20002121313313) 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 63 ways as a sum of consecutive naturals, for example, 203247123 + ... + 203345511.

It is an arithmetic number, because the mean of its divisors is an integer number (483251143320).

Almost surely, 2^{20002121333313} is an apocalyptic number.

It is an amenable number.

20002121333313 is a deficient number, since it is larger than the sum of its proper divisors (10925951839167).

20002121333313 is a wasteful number, since it uses less digits than its factorization.

20002121333313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99066.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 20002121333313 its reverse (31333312120002), we get a palindrome (51335433453315).

The spelling of 20002121333313 in words is "twenty trillion, two billion, one hundred twenty-one million, three hundred thirty-three thousand, three hundred thirteen".