1033007107152 has 40 divisors (see below), whose sum is σ = 2668658917120. Its totient is φ = 344328318720.

The previous prime is 1033007107127. The next prime is 1033007107211. The reversal of 1033007107152 is 2517017003301.

It is a super-2 number, since 2×1033007107152² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 2322252 + ... + 2731092.

It is an arithmetic number, because the mean of its divisors is an integer number (66716472928).

Almost surely, 2^{1033007107152} is an apocalyptic number.

1033007107152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1033007107152 is an abundant number, since it is smaller than the sum of its proper divisors (1635651809968).

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

1033007107152 is a wasteful number, since it uses less digits than its factorization.

1033007107152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461491 (or 461485 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The spelling of 1033007107152 in words is "one trillion, thirty-three billion, seven million, one hundred seven thousand, one hundred fifty-two".