1020313031232 has 112 divisors (see below), whose sum is σ = 2950015041792. Its totient is φ = 308658670080.

The previous prime is 1020313031219. The next prime is 1020313031233. The reversal of 1020313031232 is 2321303130201.

It is a junction number, because it is equal to n+sod(n) for n = 1020313031199 and 1020313031208.

It is not an unprimeable number, because it can be changed into a prime (1020313031233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 828243 + ... + 1651245.

It is an arithmetic number, because the mean of its divisors is an integer number (26339420016).

Almost surely, 2^{1020313031232} is an apocalyptic number.

1020313031232 is a gapful number since it is divisible by the number (12) 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 1020313031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475007520896).

1020313031232 is an abundant number, since it is smaller than the sum of its proper divisors (1929702010560).

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

1020313031232 is a wasteful number, since it uses less digits than its factorization.

1020313031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823616 (or 823606 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1020313031232 its reverse (2321303130201), we get a palindrome (3341616161433).

The spelling of 1020313031232 in words is "one trillion, twenty billion, three hundred thirteen million, thirty-one thousand, two hundred thirty-two".