131010111222101 has 64 divisors (see below), whose sum is σ = 137517706174464. Its totient is φ = 124714054080000.

The previous prime is 131010111221999. The next prime is 131010111222103. The reversal of 131010111222101 is 101222111010131.

It is a cyclic number.

It is not a de Polignac number, because 131010111222101 - 2¹⁸ = 131010110959957 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 131010111222101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010111222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56155211531 + ... + 56155213863.

It is an arithmetic number, because the mean of its divisors is an integer number (2148714158976).

Almost surely, 2^{131010111222101} is an apocalyptic number.

It is an amenable number.

131010111222101 is a deficient number, since it is larger than the sum of its proper divisors (6507594952363).

131010111222101 is a wasteful number, since it uses less digits than its factorization.

131010111222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 131010111222101 its reverse (101222111010131), we get a palindrome (232232222232232).

It can be divided in two parts, 131010 and 111222101, that added together give a palindrome (111353111).

The spelling of 131010111222101 in words is "one hundred thirty-one trillion, ten billion, one hundred eleven million, two hundred twenty-two thousand, one hundred one".