102181919131 has 2 divisors, whose sum is σ = 102181919132. Its totient is φ = 102181919130.

The previous prime is 102181919111. The next prime is 102181919179. The reversal of 102181919131 is 131919181201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102181919131 - 2¹³ = 102181910939 is a prime.

It is a super-3 number, since 3×102181919131³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (102181919111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51090959565 + 51090959566.

It is an arithmetic number, because the mean of its divisors is an integer number (51090959566).

Almost surely, 2^102181919131 is an apocalyptic number.

102181919131 is a deficient number, since it is larger than the sum of its proper divisors (1).

102181919131 is an equidigital number, since it uses as much as digits as its factorization.

102181919131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 37.

The spelling of 102181919131 in words is "one hundred two billion, one hundred eighty-one million, nine hundred nineteen thousand, one hundred thirty-one".