131201404000361 has 2 divisors, whose sum is σ = 131201404000362. Its totient is φ = 131201404000360.

The previous prime is 131201404000349. The next prime is 131201404000421. The reversal of 131201404000361 is 163000404102131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77560501240336 + 53640902760025 = 8806844^2 + 7323995^2 .

It is a cyclic number.

It is not a de Polignac number, because 131201404000361 - 2¹⁴ = 131201403983977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131201404000361.

It is not a weakly prime, because it can be changed into another prime (131201404000061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65600702000180 + 65600702000181.

It is an arithmetic number, because the mean of its divisors is an integer number (65600702000181).

Almost surely, 2^{131201404000361} is an apocalyptic number.

It is an amenable number.

131201404000361 is a deficient number, since it is larger than the sum of its proper divisors (1).

131201404000361 is an equidigital number, since it uses as much as digits as its factorization.

131201404000361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 131201404000361 its reverse (163000404102131), we get a palindrome (294201808102492).

The spelling of 131201404000361 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred four million, three hundred sixty-one", and thus it is an aban number.