1033011011320 has 96 divisors (see below), whose sum is σ = 2399757872400. Its totient is φ = 400180152320.

The previous prime is 1033011011299. The next prime is 1033011011339. The reversal of 1033011011320 is 231101103301.

It is a super-2 number, since 2×1033011011320² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1033011011294 and 1033011011303.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9155811 + ... + 9267949.

Almost surely, 2^{1033011011320} is an apocalyptic number.

1033011011320 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 1033011011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199878936200).

1033011011320 is an abundant number, since it is smaller than the sum of its proper divisors (1366746861080).

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

1033011011320 is a wasteful number, since it uses less digits than its factorization.

1033011011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112369 (or 112324 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1033011011320 its reverse (231101103301), we get a palindrome (1264112114621).

The spelling of 1033011011320 in words is "one trillion, thirty-three billion, eleven million, eleven thousand, three hundred twenty".