10033133009985 has 96 divisors (see below), whose sum is σ = 19275459840000. Its totient is φ = 4805134387200.

The previous prime is 10033133009969. The next prime is 10033133010011. The reversal of 10033133009985 is 58990033133001.

10033133009985 is a `hidden beast` number, since 1 + 0 + 0 + 331 + 3 + 300 + 9 + 9 + 8 + 5 = 666.

It is not a de Polignac number, because 10033133009985 - 2⁴ = 10033133009969 is a prime.

It is a super-2 number, since 2×10033133009985² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10033133009985.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1295610 + ... + 4663139.

It is an arithmetic number, because the mean of its divisors is an integer number (200786040000).

Almost surely, 2^{10033133009985} is an apocalyptic number.

10033133009985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10033133009985 is a deficient number, since it is larger than the sum of its proper divisors (9242326830015).

10033133009985 is a wasteful number, since it uses less digits than its factorization.

10033133009985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5958879 (or 5958876 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 10033133009985 in words is "ten trillion, thirty-three billion, one hundred thirty-three million, nine thousand, nine hundred eighty-five".