131201421401001 has 16 divisors (see below), whose sum is σ = 199927187970048. Its totient is φ = 74971786112400.

The previous prime is 131201421400979. The next prime is 131201421401093. The reversal of 131201421401001 is 100104124102131.

It is not a de Polignac number, because 131201421401001 - 2¹⁴ = 131201421384617 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 (131201421402001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15384705 + ... + 22340366.

It is an arithmetic number, because the mean of its divisors is an integer number (12495449248128).

Almost surely, 2^{131201421401001} is an apocalyptic number.

It is an amenable number.

131201421401001 is a deficient number, since it is larger than the sum of its proper divisors (68725766569047).

131201421401001 is a wasteful number, since it uses less digits than its factorization.

131201421401001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37890692.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 131201421401001 its reverse (100104124102131), we get a palindrome (231305545503132).

The spelling of 131201421401001 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred twenty-one million, four hundred one thousand, one".