1002121033213 has 32 divisors (see below), whose sum is σ = 1073192607360. Its totient is φ = 933930466560.

The previous prime is 1002121033211. The next prime is 1002121033247. The reversal of 1002121033213 is 3123301212001.

It is a cyclic number.

It is not a de Polignac number, because 1002121033213 - 2¹ = 1002121033211 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 (1002121033211) 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 31 ways as a sum of consecutive naturals, for example, 71762770 + ... + 71776732.

It is an arithmetic number, because the mean of its divisors is an integer number (33537268980).

Almost surely, 2^{1002121033213} is an apocalyptic number.

It is an amenable number.

1002121033213 is a deficient number, since it is larger than the sum of its proper divisors (71071574147).

1002121033213 is a wasteful number, since it uses less digits than its factorization.

1002121033213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14557.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1002121033213 its reverse (3123301212001), we get a palindrome (4125422245214).

The spelling of 1002121033213 in words is "one trillion, two billion, one hundred twenty-one million, thirty-three thousand, two hundred thirteen".