100806313113387 has 24 divisors (see below), whose sum is σ = 169230937274880. Its totient is φ = 56627275160880.

The previous prime is 100806313113367. The next prime is 100806313113419. The reversal of 100806313113387 is 783311313608001.

100806313113387 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 0 + 631 + 3 + 1 + 1 + 3 + 3 + 8 + 7 = 666.

It is not a de Polignac number, because 100806313113387 - 2⁸ = 100806313113131 is a prime.

It is a super-2 number, since 2×100806313113387² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100806313113367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13560167539 + ... + 13560174972.

It is an arithmetic number, because the mean of its divisors is an integer number (7051289053120).

Almost surely, 2^{100806313113387} is an apocalyptic number.

100806313113387 is a deficient number, since it is larger than the sum of its proper divisors (68424624161493).

100806313113387 is a wasteful number, since it uses less digits than its factorization.

100806313113387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27120342583 (or 27120342580 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 100806313113387 in words is "one hundred trillion, eight hundred six billion, three hundred thirteen million, one hundred thirteen thousand, three hundred eighty-seven".