33320313002020 has 72 divisors (see below), whose sum is σ = 77198014467000. Its totient is φ = 12071434552320.

The previous prime is 33320313001981. The next prime is 33320313002059. The reversal of 33320313002020 is 2020031302333.

It is an interprime number because it is at equal distance from previous prime (33320313001981) and next prime (33320313002059).

It can be written as a sum of positive squares in 4 ways, for example, as 212165256996 + 33108147745024 = 460614^2 + 5753968^2 .

It is a super-2 number, since 2×33320313002020² (a number of 28 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 = 33320313001982 and 33320313002000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24941445 + ... + 26243404.

It is an arithmetic number, because the mean of its divisors is an integer number (1072194645375).

Almost surely, 2^{33320313002020} is an apocalyptic number.

It is an amenable number.

33320313002020 is an abundant number, since it is smaller than the sum of its proper divisors (43877701464980).

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

33320313002020 is a wasteful number, since it uses less digits than its factorization.

33320313002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51185149 (or 51185136 counting only the distinct ones).

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

Adding to 33320313002020 its reverse (2020031302333), we get a palindrome (35340344304353).

The spelling of 33320313002020 in words is "thirty-three trillion, three hundred twenty billion, three hundred thirteen million, two thousand, twenty".