100105500510013 has 4 divisors (see below), whose sum is σ = 100554404099968. Its totient is φ = 99656596920060.

The previous prime is 100105500510011. The next prime is 100105500510047. The reversal of 100105500510013 is 310015005501001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100105500510013 - 2¹ = 100105500510011 is a prime.

It is a super-2 number, since 2×100105500510013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105500510011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 224451794643 + ... + 224451795088.

It is an arithmetic number, because the mean of its divisors is an integer number (25138601024992).

Almost surely, 2^{100105500510013} is an apocalyptic number.

It is an amenable number.

100105500510013 is a deficient number, since it is larger than the sum of its proper divisors (448903589955).

100105500510013 is an equidigital number, since it uses as much as digits as its factorization.

100105500510013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448903589954.

The product of its (nonzero) digits is 375, while the sum is 22.

The spelling of 100105500510013 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred ten thousand, thirteen".