3313312013020 has 96 divisors (see below), whose sum is σ = 7239368908800. Its totient is φ = 1272265929984.

The previous prime is 3313312013009. The next prime is 3313312013027. The reversal of 3313312013020 is 203102133133.

It is a junction number, because it is equal to n+sod(n) for n = 3313312012982 and 3313312013000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313312013027) 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 31 ways as a sum of consecutive naturals, for example, 89668669 + ... + 89705611.

It is an arithmetic number, because the mean of its divisors is an integer number (75410092800).

Almost surely, 2^{3313312013020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313312013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619684454400).

3313312013020 is an abundant number, since it is smaller than the sum of its proper divisors (3926056895780).

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

3313312013020 is a wasteful number, since it uses less digits than its factorization.

3313312013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37867 (or 37865 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 3313312013020 its reverse (203102133133), we get a palindrome (3516414146153).

The spelling of 3313312013020 in words is "three trillion, three hundred thirteen billion, three hundred twelve million, thirteen thousand, twenty".