1021312320032 has 96 divisors (see below), whose sum is σ = 2212108859520. Its totient is φ = 461998673920.

The previous prime is 1021312320031. The next prime is 1021312320053. The reversal of 1021312320032 is 2300232131201.

It is a junction number, because it is equal to n+sod(n) for n = 1021312319986 and 1021312320013.

It is not an unprimeable number, because it can be changed into a prime (1021312320031) 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, 3438557 + ... + 3723747.

It is an arithmetic number, because the mean of its divisors is an integer number (23042800620).

Almost surely, 2^{1021312320032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021312320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106054429760).

1021312320032 is an abundant number, since it is smaller than the sum of its proper divisors (1190796539488).

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

1021312320032 is a wasteful number, since it uses less digits than its factorization.

1021312320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285474 (or 285466 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1021312320032 its reverse (2300232131201), we get a palindrome (3321544451233).

The spelling of 1021312320032 in words is "one trillion, twenty-one billion, three hundred twelve million, three hundred twenty thousand, thirty-two".