131112220310101 has 8 divisors (see below), whose sum is σ = 139430925276120. Its totient is φ = 122860873279488.

The previous prime is 131112220310063. The next prime is 131112220310111. The reversal of 131112220310101 is 101013022211131.

It can be written as a sum of positive squares in 4 ways, for example, as 94429223200900 + 36682997109201 = 9717470^2 + 6056649^2 .

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 131112220310101 - 2²⁷ = 131112086092373 is a prime.

It is a super-2 number, since 2×131112220310101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131112220310111) 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, 16839479836 + ... + 16839487621.

It is an arithmetic number, because the mean of its divisors is an integer number (17428865659515).

Almost surely, 2^{131112220310101} is an apocalyptic number.

It is an amenable number.

131112220310101 is a deficient number, since it is larger than the sum of its proper divisors (8318704966019).

131112220310101 is a wasteful number, since it uses less digits than its factorization.

131112220310101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33678967703.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 131112220310101 its reverse (101013022211131), we get a palindrome (232125242521232).

The spelling of 131112220310101 in words is "one hundred thirty-one trillion, one hundred twelve billion, two hundred twenty million, three hundred ten thousand, one hundred one".