1021131220320 has 288 divisors, whose sum is σ = 3573723797280. Its totient is φ = 265353338880.

The previous prime is 1021131220261. The next prime is 1021131220327. The reversal of 1021131220320 is 230221311201.

1021131220320 is a `hidden beast` number, since 1 + 0 + 2 + 11 + 312 + 20 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1021131220320² (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 = 1021131220293 and 1021131220302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021131220327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53539746 + ... + 53558814.

It is an arithmetic number, because the mean of its divisors is an integer number (12408763185).

Almost surely, 2^{1021131220320} is an apocalyptic number.

1021131220320 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 1021131220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786861898640).

1021131220320 is an abundant number, since it is smaller than the sum of its proper divisors (2552592576960).

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

1021131220320 is a wasteful number, since it uses less digits than its factorization.

1021131220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20038 (or 20027 counting only the distinct ones).

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

Adding to 1021131220320 its reverse (230221311201), we get a palindrome (1251352531521).

The spelling of 1021131220320 in words is "one trillion, twenty-one billion, one hundred thirty-one million, two hundred twenty thousand, three hundred twenty".