1033013132320 has 96 divisors (see below), whose sum is σ = 2634651941040. Its totient is φ = 380487352320.

The previous prime is 1033013132311. The next prime is 1033013132363. The reversal of 1033013132320 is 232313103301.

It can be written as a sum of positive squares in 8 ways, for example, as 370866384144 + 662146748176 = 608988^2 + 813724^2 .

It is a super-2 number, since 2×1033013132320² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1033013132291 and 1033013132300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243580 + ... + 1457860.

Almost surely, 2^{1033013132320} is an apocalyptic number.

1033013132320 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 1033013132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317325970520).

1033013132320 is an abundant number, since it is smaller than the sum of its proper divisors (1601638808720).

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

1033013132320 is a wasteful number, since it uses less digits than its factorization.

1033013132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214718 (or 1214710 counting only the distinct ones).

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

Adding to 1033013132320 its reverse (232313103301), we get a palindrome (1265326235621).

The spelling of 1033013132320 in words is "one trillion, thirty-three billion, thirteen million, one hundred thirty-two thousand, three hundred twenty".