131010413034349 has 2 divisors, whose sum is σ = 131010413034350. Its totient is φ = 131010413034348.

The previous prime is 131010413034301. The next prime is 131010413034359. The reversal of 131010413034349 is 943430314010131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87128969804100 + 43881443230249 = 9334290^2 + 6624307^2 .

It is an emirp because it is prime and its reverse (943430314010131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131010413034349 - 2¹⁵ = 131010413001581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131010413034359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65505206517174 + 65505206517175.

It is an arithmetic number, because the mean of its divisors is an integer number (65505206517175).

Almost surely, 2^{131010413034349} is an apocalyptic number.

It is an amenable number.

131010413034349 is a deficient number, since it is larger than the sum of its proper divisors (1).

131010413034349 is an equidigital number, since it uses as much as digits as its factorization.

131010413034349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 131010413034349 in words is "one hundred thirty-one trillion, ten billion, four hundred thirteen million, thirty-four thousand, three hundred forty-nine".