1033011110112 has 48 divisors (see below), whose sum is σ = 2722457630592. Its totient is φ = 342965168000.

The previous prime is 1033011110111. The next prime is 1033011110161. The reversal of 1033011110112 is 2110111103301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1033011110112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1033011110091 and 1033011110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033011110111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21411228 + ... + 21459419.

It is an arithmetic number, because the mean of its divisors is an integer number (56717867304).

Almost surely, 2^{1033011110112} is an apocalyptic number.

1033011110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1033011110112 is an abundant number, since it is smaller than the sum of its proper divisors (1689446520480).

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

1033011110112 is a wasteful number, since it uses less digits than its factorization.

1033011110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42870911 (or 42870903 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1033011110112 its reverse (2110111103301), we get a palindrome (3143122213413).

The spelling of 1033011110112 in words is "one trillion, thirty-three billion, eleven million, one hundred ten thousand, one hundred twelve".