1006140116133 has 6 divisors (see below), whose sum is σ = 1453313501094. Its totient is φ = 670760077416.

The previous prime is 1006140116101. The next prime is 1006140116147. The reversal of 1006140116133 is 3316110416001.

1006140116133 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 1 + 40 + 1 + 1 + 613 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 928923933249 + 77216182884 = 963807^2 + 277878^2 .

It is not a de Polignac number, because 1006140116133 - 2⁵ = 1006140116101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006140116097 and 1006140116106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006140106133) 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, 55896673110 + ... + 55896673127.

It is an arithmetic number, because the mean of its divisors is an integer number (242218916849).

Almost surely, 2^{1006140116133} is an apocalyptic number.

It is an amenable number.

1006140116133 is a deficient number, since it is larger than the sum of its proper divisors (447173384961).

1006140116133 is a wasteful number, since it uses less digits than its factorization.

1006140116133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111793346243 (or 111793346240 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 1006140116133 in words is "one trillion, six billion, one hundred forty million, one hundred sixteen thousand, one hundred thirty-three".