131344412101 has 16 divisors (see below), whose sum is σ = 151609579264. Its totient is φ = 111455305344.

The previous prime is 131344412077. The next prime is 131344412123. The reversal of 131344412101 is 101214443131.

It is a cyclic number.

It is not a de Polignac number, because 131344412101 - 2¹⁵ = 131344379333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131344412141) 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, 2623435 + ... + 2673031.

It is an arithmetic number, because the mean of its divisors is an integer number (9475598704).

Almost surely, 2^131344412101 is an apocalyptic number.

It is an amenable number.

131344412101 is a deficient number, since it is larger than the sum of its proper divisors (20265167163).

131344412101 is a wasteful number, since it uses less digits than its factorization.

131344412101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53380.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 131344412101 its reverse (101214443131), we get a palindrome (232558855232).

The spelling of 131344412101 in words is "one hundred thirty-one billion, three hundred forty-four million, four hundred twelve thousand, one hundred one".