10640165133033 has 12 divisors (see below), whose sum is σ = 16273193733108. Its totient is φ = 6676182044160.

The previous prime is 10640165133023. The next prime is 10640165133053. The reversal of 10640165133033 is 33033156104601.

10640165133033 is a `hidden beast` number, since 1 + 0 + 640 + 1 + 6 + 5 + 1 + 3 + 3 + 0 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5528080308969 + 5112084824064 = 2351187^2 + 2260992^2 .

It is not a de Polignac number, because 10640165133033 - 2²¹ = 10640163035881 is a prime.

It is a super-2 number, since 2×10640165133033² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10640165133023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34771781328 + ... + 34771781633.

It is an arithmetic number, because the mean of its divisors is an integer number (1356099477759).

Almost surely, 2^{10640165133033} is an apocalyptic number.

It is an amenable number.

10640165133033 is a deficient number, since it is larger than the sum of its proper divisors (5633028600075).

10640165133033 is a wasteful number, since it uses less digits than its factorization.

10640165133033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69543562984 (or 69543562981 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 10640165133033 in words is "ten trillion, six hundred forty billion, one hundred sixty-five million, one hundred thirty-three thousand, thirty-three".