1321201201320 has 768 divisors, whose sum is σ = 5775530342400. Its totient is φ = 252965099520.

The previous prime is 1321201201211. The next prime is 1321201201337. The reversal of 1321201201320 is 231021021231.

1321201201320 is a `hidden beast` number, since 1 + 321 + 2 + 0 + 1 + 20 + 1 + 320 = 666.

It is a super-2 number, since 2×1321201201320² (a number of 25 digits) contains 22 as substring.

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 = 1321201201293 and 1321201201302.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 223059879 + ... + 223065801.

It is an arithmetic number, because the mean of its divisors is an integer number (7520221800).

Almost surely, 2^{1321201201320} is an apocalyptic number.

1321201201320 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 1321201201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887765171200).

1321201201320 is an abundant number, since it is smaller than the sum of its proper divisors (4454329141080).

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

1321201201320 is a wasteful number, since it uses less digits than its factorization.

1321201201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1321201201320 its reverse (231021021231), we get a palindrome (1552222222551).

The spelling of 1321201201320 in words is "one trillion, three hundred twenty-one billion, two hundred one million, two hundred one thousand, three hundred twenty".