131222400101 has 16 divisors (see below), whose sum is σ = 142404754800. Its totient is φ = 120197122560.

The previous prime is 131222400079. The next prime is 131222400139. The reversal of 131222400101 is 101004222131.

It can be written as a sum of positive squares in 8 ways, for example, as 22471509025 + 108750891076 = 149905^2 + 329774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131222400101 is a prime.

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 131222400101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131222400151) 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, 1968131 + ... + 2033711.

It is an arithmetic number, because the mean of its divisors is an integer number (8900297175).

Almost surely, 2^131222400101 is an apocalyptic number.

It is an amenable number.

131222400101 is a deficient number, since it is larger than the sum of its proper divisors (11182354699).

131222400101 is a wasteful number, since it uses less digits than its factorization.

131222400101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66776.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 131222400101 its reverse (101004222131), we get a palindrome (232226622232).

The spelling of 131222400101 in words is "one hundred thirty-one billion, two hundred twenty-two million, four hundred thousand, one hundred one".