1031313032320 has 128 divisors (see below), whose sum is σ = 2624407776000. Its totient is φ = 386421792768.

The previous prime is 1031313032291. The next prime is 1031313032383. The reversal of 1031313032320 is 232303131301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1031313032291 and 1031313032300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605769 + ... + 1558711.

It is an arithmetic number, because the mean of its divisors is an integer number (20503185750).

Almost surely, 2^{1031313032320} is an apocalyptic number.

1031313032320 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 1031313032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312203888000).

1031313032320 is an abundant number, since it is smaller than the sum of its proper divisors (1593094743680).

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

1031313032320 is an equidigital number, since it uses as much as digits as its factorization.

1031313032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953070 (or 953058 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1031313032320 its reverse (232303131301), we get a palindrome (1263616163621).

The spelling of 1031313032320 in words is "one trillion, thirty-one billion, three hundred thirteen million, thirty-two thousand, three hundred twenty".