1320033301020 has 240 divisors, whose sum is σ = 4812779220480. Its totient is φ = 296607816576.

The previous prime is 1320033300983. The next prime is 1320033301031. The reversal of 1320033301020 is 201033300231.

1320033301020 is a `hidden beast` number, since 1 + 320 + 0 + 3 + 330 + 10 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1320033300984 and 1320033301002.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 317424 + ... + 1655543.

It is an arithmetic number, because the mean of its divisors is an integer number (20053246752).

Almost surely, 2^{1320033301020} is an apocalyptic number.

1320033301020 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 1320033301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406389610240).

1320033301020 is an abundant number, since it is smaller than the sum of its proper divisors (3492745919460).

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

1320033301020 is a wasteful number, since it uses less digits than its factorization.

1320033301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973054 (or 1973043 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1320033301020 its reverse (201033300231), we get a palindrome (1521066601251).

The spelling of 1320033301020 in words is "one trillion, three hundred twenty billion, thirty-three million, three hundred one thousand, twenty".