10101675935133 has 6 divisors (see below), whose sum is σ = 14591309684094. Its totient is φ = 6734450623416.

The previous prime is 10101675935093. The next prime is 10101675935249. The reversal of 10101675935133 is 33153957610101.

10101675935133 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 6 + 7 + 593 + 51 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5869756326564 + 4231919608569 = 2422758^2 + 2057163^2 .

It is not a de Polignac number, because 10101675935133 - 2⁶ = 10101675935069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101675935933) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561204218610 + ... + 561204218627.

It is an arithmetic number, because the mean of its divisors is an integer number (2431884947349).

Almost surely, 2^{10101675935133} is an apocalyptic number.

It is an amenable number.

10101675935133 is a deficient number, since it is larger than the sum of its proper divisors (4489633748961).

10101675935133 is a wasteful number, since it uses less digits than its factorization.

10101675935133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122408437243 (or 1122408437240 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 10101675935133 in words is "ten trillion, one hundred one billion, six hundred seventy-five million, nine hundred thirty-five thousand, one hundred thirty-three".