10033332442133 has 64 divisors (see below), whose sum is σ = 13519906670592. Its totient is φ = 7190805646080.

The previous prime is 10033332442123. The next prime is 10033332442171. The reversal of 10033332442133 is 33124423333001.

It is not a de Polignac number, because 10033332442133 - 2²⁰ = 10033331393557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10033332442133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033332442123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313888610 + ... + 313920572.

It is an arithmetic number, because the mean of its divisors is an integer number (211248541728).

Almost surely, 2^{10033332442133} is an apocalyptic number.

10033332442133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10033332442133 is a deficient number, since it is larger than the sum of its proper divisors (3486574228459).

10033332442133 is a wasteful number, since it uses less digits than its factorization.

10033332442133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33114.

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 10033332442133 its reverse (33124423333001), we get a palindrome (43157755775134).

The spelling of 10033332442133 in words is "ten trillion, thirty-three billion, three hundred thirty-two million, four hundred forty-two thousand, one hundred thirty-three".