1033012011000 has 128 divisors (see below), whose sum is σ = 3242772000000. Its totient is φ = 273779740800.

The previous prime is 1033012010963. The next prime is 1033012011001. The reversal of 1033012011000 is 1102103301.

It is a super-2 number, since 2×1033012011000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033012011001) 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 31 ways as a sum of consecutive naturals, for example, 567250 + ... + 1545249.

It is an arithmetic number, because the mean of its divisors is an integer number (25334156250).

Almost surely, 2^{1033012011000} is an apocalyptic number.

1033012011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1033012011000 is an abundant number, since it is smaller than the sum of its proper divisors (2209759989000).

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

1033012011000 is a wasteful number, since it uses less digits than its factorization.

1033012011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112686 (or 2112672 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1033012011000 its reverse (1102103301), we get a palindrome (1034114114301).

The spelling of 1033012011000 in words is "one trillion, thirty-three billion, twelve million, eleven thousand".