1331211201320 has 256 divisors, whose sum is σ = 4024540961280. Its totient is φ = 382722048000.

The previous prime is 1331211201317. The next prime is 1331211201347. The reversal of 1331211201320 is 231021121331.

It is a happy number.

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 = 1331211201292 and 1331211201301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57365720 + ... + 57388920.

It is an arithmetic number, because the mean of its divisors is an integer number (15720863130).

Almost surely, 2^{1331211201320} is an apocalyptic number.

1331211201320 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 1331211201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012270480640).

1331211201320 is an abundant number, since it is smaller than the sum of its proper divisors (2693329759960).

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

1331211201320 is a wasteful number, since it uses less digits than its factorization.

1331211201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24676 (or 24672 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1331211201320 its reverse (231021121331), we get a palindrome (1562232322651).

The spelling of 1331211201320 in words is "one trillion, three hundred thirty-one billion, two hundred eleven million, two hundred one thousand, three hundred twenty".