1033020032120 has 64 divisors (see below), whose sum is σ = 2426864094720. Its totient is φ = 394995931264.

The previous prime is 1033020032113. The next prime is 1033020032123. The reversal of 1033020032120 is 212300203301.

It is a super-2 number, since 2×1033020032120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033020032123) 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 15 ways as a sum of consecutive naturals, for example, 1129079 + ... + 1827801.

It is an arithmetic number, because the mean of its divisors is an integer number (37919751480).

Almost surely, 2^{1033020032120} is an apocalyptic number.

1033020032120 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 1033020032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213432047360).

1033020032120 is an abundant number, since it is smaller than the sum of its proper divisors (1393844062600).

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

1033020032120 is a wasteful number, since it uses less digits than its factorization.

1033020032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700364 (or 700360 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1033020032120 its reverse (212300203301), we get a palindrome (1245320235421).

The spelling of 1033020032120 in words is "one trillion, thirty-three billion, twenty million, thirty-two thousand, one hundred twenty".