1031220320020 has 384 divisors, whose sum is σ = 2574405711360. Its totient is φ = 343348346880.

The previous prime is 1031220319999. The next prime is 1031220320021. The reversal of 1031220320020 is 200230221301.

It is a junction number, because it is equal to n+sod(n) for n = 1031220319976 and 1031220320003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031220320021) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1787209972 + ... + 1787210548.

It is an arithmetic number, because the mean of its divisors is an integer number (6704181540).

Almost surely, 2^{1031220320020} is an apocalyptic number.

1031220320020 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 1031220320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287202855680).

1031220320020 is an abundant number, since it is smaller than the sum of its proper divisors (1543185391340).

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

1031220320020 is a wasteful number, since it uses less digits than its factorization.

1031220320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1031220320020 its reverse (200230221301), we get a palindrome (1231450541321).

The spelling of 1031220320020 in words is "one trillion, thirty-one billion, two hundred twenty million, three hundred twenty thousand, twenty".