180013381 has 2 divisors, whose sum is σ = 180013382. Its totient is φ = 180013380.

The previous prime is 180013343. The next prime is 180013397. The reversal of 180013381 is 183310081.

180013381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176624100 + 3389281 = 13290^2 + 1841^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-180013381 is a prime.

It is a super-2 number, since 2×180013381² = 64809634678102322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (180013321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90006690 + 90006691.

It is an arithmetic number, because the mean of its divisors is an integer number (90006691).

Almost surely, 2^180013381 is an apocalyptic number.

It is an amenable number.

180013381 is a deficient number, since it is larger than the sum of its proper divisors (1).

180013381 is an equidigital number, since it uses as much as digits as its factorization.

180013381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 180013381 is about 13416.9065361580. The cubic root of 180013381 is about 564.6356080965.

The spelling of 180013381 in words is "one hundred eighty million, thirteen thousand, three hundred eighty-one".