888888888900013 has 2 divisors, whose sum is σ = 888888888900014. Its totient is φ = 888888888900012.

The previous prime is 888888888899989. The next prime is 888888888900049. The reversal of 888888888900013 is 310009888888888.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 846116281734084 + 42772607165929 = 29088078^2 + 6540077^2 .

It is a cyclic number.

It is not a de Polignac number, because 888888888900013 - 2¹⁷ = 888888888768941 is a prime.

It is a super-2 number, since 2×888888888900013² (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 888888888899894 and 888888888899903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (888888888904013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 444444444450006 + 444444444450007.

It is an arithmetic number, because the mean of its divisors is an integer number (444444444450007).

Almost surely, 2^{888888888900013} is an apocalyptic number.

It is an amenable number.

888888888900013 is a deficient number, since it is larger than the sum of its proper divisors (1).

888888888900013 is an equidigital number, since it uses as much as digits as its factorization.

888888888900013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3623878656, while the sum is 85.

The spelling of 888888888900013 in words is "eight hundred eighty-eight trillion, eight hundred eighty-eight billion, eight hundred eighty-eight million, nine hundred thousand, thirteen".