1000106555013 has 16 divisors (see below), whose sum is σ = 1481742673600. Its totient is φ = 666691203600.

The previous prime is 1000106555009. The next prime is 1000106555093. The reversal of 1000106555013 is 3105556010001.

1000106555013 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 0 + 655 + 5 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 1000106555013 - 2² = 1000106555009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000106555003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895138 + ... + 1673763.

It is an arithmetic number, because the mean of its divisors is an integer number (92608917100).

Almost surely, 2^{1000106555013} is an apocalyptic number.

It is an amenable number.

1000106555013 is a deficient number, since it is larger than the sum of its proper divisors (481636118587).

1000106555013 is a wasteful number, since it uses less digits than its factorization.

1000106555013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583329 (or 2583323 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 1000106555013 in words is "one trillion, one hundred six million, five hundred fifty-five thousand, thirteen".