131201404000401 has 32 divisors (see below), whose sum is σ = 202706757550080. Its totient is φ = 73936497491136.

The previous prime is 131201404000361. The next prime is 131201404000421. The reversal of 131201404000401 is 104000404102131.

It is not a de Polignac number, because 131201404000401 - 2⁹ = 131201403999889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (131201404000421) 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 in 31 ways as a sum of consecutive naturals, for example, 146843166 + ... + 147733943.

It is an arithmetic number, because the mean of its divisors is an integer number (6334586173440).

Almost surely, 2^{131201404000401} is an apocalyptic number.

It is an amenable number.

131201404000401 is a deficient number, since it is larger than the sum of its proper divisors (71505353549679).

131201404000401 is a wasteful number, since it uses less digits than its factorization.

131201404000401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294577413.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 131201404000401 its reverse (104000404102131), we get a palindrome (235201808102532).

The spelling of 131201404000401 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred four million, four hundred one", and thus it is an aban number.