101134514474433 has 36 divisors (see below), whose sum is σ = 160571840387140. Its totient is φ = 61293238997760.

The previous prime is 101134514474431. The next prime is 101134514474489. The reversal of 101134514474433 is 334474415431101.

101134514474433 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 4 + 5 + 144 + 74 + 433 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49855066099344 + 51279448375089 = 7060812^2 + 7160967^2 .

It is not a de Polignac number, because 101134514474433 - 2¹ = 101134514474431 is a prime.

It is a super-4 number, since 4×101134514474433⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101134514474431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288707253 + ... + 289057341.

Almost surely, 2^{101134514474433} is an apocalyptic number.

It is an amenable number.

101134514474433 is a deficient number, since it is larger than the sum of its proper divisors (59437325912707).

101134514474433 is a wasteful number, since it uses less digits than its factorization.

101134514474433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615390 (or 615376 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 101134514474433 in words is "one hundred one trillion, one hundred thirty-four billion, five hundred fourteen million, four hundred seventy-four thousand, four hundred thirty-three".