2002033133320 has 64 divisors (see below), whose sum is σ = 5127737063040. Its totient is φ = 696359347200.

The previous prime is 2002033133299. The next prime is 2002033133333. The reversal of 2002033133320 is 233313302002.

It is a super-2 number, since 2×2002033133320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2002033133291 and 2002033133300.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 98904561 + ... + 98924800.

It is an arithmetic number, because the mean of its divisors is an integer number (80120891610).

Almost surely, 2^{2002033133320} is an apocalyptic number.

2002033133320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002033133320 is an abundant number, since it is smaller than the sum of its proper divisors (3125703929720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002033133320 is a wasteful number, since it uses less digits than its factorization.

2002033133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197829406 (or 197829402 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 2002033133320 its reverse (233313302002), we get a palindrome (2235346435322).

The spelling of 2002033133320 in words is "two trillion, two billion, thirty-three million, one hundred thirty-three thousand, three hundred twenty".