10180105013 has 16 divisors (see below), whose sum is σ = 11305222656. Its totient is φ = 9107735040.

The previous prime is 10180105007. The next prime is 10180105021. The reversal of 10180105013 is 31050108101.

It is a cyclic number.

It is not a de Polignac number, because 10180105013 - 2⁴ = 10180104997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10180101013) 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, 17948 + ... + 143813.

It is an arithmetic number, because the mean of its divisors is an integer number (706576416).

Almost surely, 2^10180105013 is an apocalyptic number.

10180105013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10180105013 is a deficient number, since it is larger than the sum of its proper divisors (1125117643).

10180105013 is a wasteful number, since it uses less digits than its factorization.

10180105013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161924.

The product of its (nonzero) digits is 120, while the sum is 20.

The spelling of 10180105013 in words is "ten billion, one hundred eighty million, one hundred five thousand, thirteen".