131234142232001 has 16 divisors (see below), whose sum is σ = 134829520321104. Its totient is φ = 127641322312704.

The previous prime is 131234142231931. The next prime is 131234142232043. The reversal of 131234142232001 is 100232241432131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22949618411776 + 108284523820225 = 4790576^2 + 10405985^2 .

It is a cyclic number.

It is not a de Polignac number, because 131234142232001 - 2³⁴ = 131216962362817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131234142232091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3192014621 + ... + 3192055733.

It is an arithmetic number, because the mean of its divisors is an integer number (8426845020069).

Almost surely, 2^{131234142232001} is an apocalyptic number.

It is an amenable number.

131234142232001 is a deficient number, since it is larger than the sum of its proper divisors (3595378089103).

131234142232001 is a wasteful number, since it uses less digits than its factorization.

131234142232001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70100.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 131234142232001 its reverse (100232241432131), we get a palindrome (231466383664132).

The spelling of 131234142232001 in words is "one hundred thirty-one trillion, two hundred thirty-four billion, one hundred forty-two million, two hundred thirty-two thousand, one".