1320021001000 has 128 divisors (see below), whose sum is σ = 3345042355200. Its totient is φ = 484668652800.

The previous prime is 1320021000989. The next prime is 1320021001073. The reversal of 1320021001000 is 1001200231.

It is a super-3 number, since 3×1320021001000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 31 ways as a sum of consecutive naturals, for example, 2043369 + ... + 2610631.

It is an arithmetic number, because the mean of its divisors is an integer number (26133143400).

Almost surely, 2^{1320021001000} is an apocalyptic number.

1320021001000 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 1320021001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672521177600).

1320021001000 is an abundant number, since it is smaller than the sum of its proper divisors (2025021354200).

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

1320021001000 is a wasteful number, since it uses less digits than its factorization.

1320021001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567476 (or 567462 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 1320021001000 its reverse (1001200231), we get a palindrome (1321022201231).

The spelling of 1320021001000 in words is "one trillion, three hundred twenty billion, twenty-one million, one thousand".