102181230513 has 18 divisors (see below), whose sum is σ = 153264068594. Its totient is φ = 68120815968.

The previous prime is 102181230469. The next prime is 102181230521. The reversal of 102181230513 is 315032181201.

102181230513 is a `hidden beast` number, since 1 + 0 + 21 + 8 + 123 + 0 + 513 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76381482384 + 25799748129 = 276372^2 + 160623^2 .

It is not a de Polignac number, because 102181230513 - 2⁸ = 102181230257 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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102181230583) 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 17 ways as a sum of consecutive naturals, for example, 7780456 + ... + 7793577.

Almost surely, 2^102181230513 is an apocalyptic number.

It is an amenable number.

102181230513 is a deficient number, since it is larger than the sum of its proper divisors (51082838081).

102181230513 is an frugal number, since it uses more digits than its factorization.

102181230513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15574057 (or 15574036 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 102181230513 in words is "one hundred two billion, one hundred eighty-one million, two hundred thirty thousand, five hundred thirteen".