1330202322020 has 144 divisors (see below), whose sum is σ = 3339394947504. Its totient is φ = 442079616000.

The previous prime is 1330202322019. The next prime is 1330202322079. The reversal of 1330202322020 is 202232020331.

It can be written as a sum of positive squares in 8 ways, for example, as 163560389476 + 1166641932544 = 404426^2 + 1080112^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1330202321983 and 1330202322001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2968142 + ... + 3386778.

It is an arithmetic number, because the mean of its divisors is an integer number (23190242691).

Almost surely, 2^{1330202322020} is an apocalyptic number.

1330202322020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330202322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669697473752).

1330202322020 is an abundant number, since it is smaller than the sum of its proper divisors (2009192625484).

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

1330202322020 is a wasteful number, since it uses less digits than its factorization.

1330202322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418782 (or 418769 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 1330202322020 its reverse (202232020331), we get a palindrome (1532434342351).

The spelling of 1330202322020 in words is "one trillion, three hundred thirty billion, two hundred two million, three hundred twenty-two thousand, twenty".