131000041200401 has 2 divisors, whose sum is σ = 131000041200402. Its totient is φ = 131000041200400.

The previous prime is 131000041200383. The next prime is 131000041200407. The reversal of 131000041200401 is 104002140000131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124992400000000 + 6007641200401 = 11180000^2 + 2451049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131000041200401 is a prime.

It is a super-2 number, since 2×131000041200401² (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 131000041200401.

It is not a weakly prime, because it can be changed into another prime (131000041200407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65500020600200 + 65500020600201.

It is an arithmetic number, because the mean of its divisors is an integer number (65500020600201).

Almost surely, 2^{131000041200401} is an apocalyptic number.

It is an amenable number.

131000041200401 is a deficient number, since it is larger than the sum of its proper divisors (1).

131000041200401 is an equidigital number, since it uses as much as digits as its factorization.

131000041200401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 131000041200401 its reverse (104002140000131), we get a palindrome (235002181200532).

The spelling of 131000041200401 in words is "one hundred thirty-one trillion, forty-one million, two hundred thousand, four hundred one".