131101004014349 has 2 divisors, whose sum is σ = 131101004014350. Its totient is φ = 131101004014348.

The previous prime is 131101004014327. The next prime is 131101004014369. The reversal of 131101004014349 is 943410400101131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129669348690025 + 1431655324324 = 11387245^2 + 1196518^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131101004014349 is a prime.

It is a super-2 number, since 2×131101004014349² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131101004014319) 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 as a sum of consecutive naturals, namely, 65550502007174 + 65550502007175.

It is an arithmetic number, because the mean of its divisors is an integer number (65550502007175).

Almost surely, 2^{131101004014349} is an apocalyptic number.

It is an amenable number.

131101004014349 is a deficient number, since it is larger than the sum of its proper divisors (1).

131101004014349 is an equidigital number, since it uses as much as digits as its factorization.

131101004014349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 131101004014349 in words is "one hundred thirty-one trillion, one hundred one billion, four million, fourteen thousand, three hundred forty-nine".