131001112020001 has 8 divisors (see below), whose sum is σ = 133473039450984. Its totient is φ = 128529192305280.

The previous prime is 131001112019971. The next prime is 131001112020043. The reversal of 131001112020001 is 100020211100131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19539228902400 + 111461883117601 = 4420320^2 + 10557551^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131001112020001 - 2¹⁵ = 131001111987233 is a prime.

It is a super-3 number, since 3×131001112020001³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131001112020071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41472355 + ... + 44519191.

It is an arithmetic number, because the mean of its divisors is an integer number (16684129931373).

Almost surely, 2^{131001112020001} is an apocalyptic number.

It is an amenable number.

131001112020001 is a deficient number, since it is larger than the sum of its proper divisors (2471927430983).

131001112020001 is an equidigital number, since it uses as much as digits as its factorization.

131001112020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858131.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 131001112020001 its reverse (100020211100131), we get a palindrome (231021323120132).

The spelling of 131001112020001 in words is "one hundred thirty-one trillion, one billion, one hundred twelve million, twenty thousand, one".