131001401100001 has 8 divisors (see below), whose sum is σ = 131231580215400. Its totient is φ = 130771279782528.

The previous prime is 131001401099963. The next prime is 131001401100007. The reversal of 131001401100001 is 100001104100131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3716162230225 + 127285238869776 = 1927735^2 + 11282076^2 .

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 131001401100001 - 2²⁵ = 131001367545569 is a prime.

It is a super-2 number, since 2×131001401100001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131001401100007) 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, 9911166 + ... + 18979831.

It is an arithmetic number, because the mean of its divisors is an integer number (16403947526925).

Almost surely, 2^{131001401100001} is an apocalyptic number.

It is an amenable number.

131001401100001 is a deficient number, since it is larger than the sum of its proper divisors (230179115399).

131001401100001 is an equidigital number, since it uses as much as digits as its factorization.

131001401100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28898963.

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

Adding to 131001401100001 its reverse (100001104100131), we get a palindrome (231002505200132).

The spelling of 131001401100001 in words is "one hundred thirty-one trillion, one billion, four hundred one million, one hundred thousand, one".