131001112020401 has 6 divisors (see below), whose sum is σ = 152389048676850. Its totient is φ = 112286667446016.

The previous prime is 131001112020379. The next prime is 131001112020413. The reversal of 131001112020401 is 104020211100131.

It can be written as a sum of positive squares in only one way, i.e., 83013072544801 + 47988039475600 = 9111151^2 + 6927340^2 .

It is not a de Polignac number, because 131001112020401 - 2¹⁴ = 131001112004017 is a prime.

It is a super-2 number, since 2×131001112020401² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131001112020401.

It is not an unprimeable number, because it can be changed into a prime (131001112029401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1336746040976 + ... + 1336746041073.

It is an arithmetic number, because the mean of its divisors is an integer number (25398174779475).

Almost surely, 2^{131001112020401} is an apocalyptic number.

It is an amenable number.

131001112020401 is a deficient number, since it is larger than the sum of its proper divisors (21387936656449).

131001112020401 is an equidigital number, since it uses as much as digits as its factorization.

131001112020401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673492082063 (or 2673492082056 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 131001112020401 its reverse (104020211100131), we get a palindrome (235021323120532).

The spelling of 131001112020401 in words is "one hundred thirty-one trillion, one billion, one hundred twelve million, twenty thousand, four hundred one".