131334101433181 has 2 divisors, whose sum is σ = 131334101433182. Its totient is φ = 131334101433180.

The previous prime is 131334101433167. The next prime is 131334101433221. The reversal of 131334101433181 is 181334101433131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112358198007225 + 18975903425956 = 10599915^2 + 4356134^2 .

It is an emirp because it is prime and its reverse (181334101433131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131334101433181 - 2⁷ = 131334101433053 is a prime.

It is a super-2 number, since 2×131334101433181² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131334101433181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131334101433781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65667050716590 + 65667050716591.

It is an arithmetic number, because the mean of its divisors is an integer number (65667050716591).

Almost surely, 2^{131334101433181} is an apocalyptic number.

It is an amenable number.

131334101433181 is a deficient number, since it is larger than the sum of its proper divisors (1).

131334101433181 is an equidigital number, since it uses as much as digits as its factorization.

131334101433181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 131334101433181 in words is "one hundred thirty-one trillion, three hundred thirty-four billion, one hundred one million, four hundred thirty-three thousand, one hundred eighty-one".