1021331331020 has 192 divisors, whose sum is σ = 3031291468800. Its totient is φ = 278383703040.

The previous prime is 1021331330993. The next prime is 1021331331071. The reversal of 1021331331020 is 201331331201.

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 = 1021331330983 and 1021331331001.

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, 962135 + ... + 1722894.

It is an arithmetic number, because the mean of its divisors is an integer number (15787976400).

Almost surely, 2^{1021331331020} is an apocalyptic number.

1021331331020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021331331020 is an abundant number, since it is smaller than the sum of its proper divisors (2009960137780).

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

1021331331020 is a wasteful number, since it uses less digits than its factorization.

1021331331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685088 (or 2685086 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1021331331020 its reverse (201331331201), we get a palindrome (1222662662221).

The spelling of 1021331331020 in words is "one trillion, twenty-one billion, three hundred thirty-one million, three hundred thirty-one thousand, twenty".