131020224442101 has 64 divisors (see below), whose sum is σ = 201659092131840. Its totient is φ = 83983756124160.

The previous prime is 131020224442097. The next prime is 131020224442117. The reversal of 131020224442101 is 101244422020131.

131020224442101 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 2 + 0 + 2 + 2 + 444 + 210 + 1 = 666.

It is not a de Polignac number, because 131020224442101 - 2² = 131020224442097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020224442141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431379445 + ... + 431683061.

It is an arithmetic number, because the mean of its divisors is an integer number (3150923314560).

Almost surely, 2^{131020224442101} is an apocalyptic number.

It is an amenable number.

131020224442101 is a deficient number, since it is larger than the sum of its proper divisors (70638867689739).

131020224442101 is a wasteful number, since it uses less digits than its factorization.

131020224442101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306983 (or 306977 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 131020224442101 its reverse (101244422020131), we get a palindrome (232264646462232).

The spelling of 131020224442101 in words is "one hundred thirty-one trillion, twenty billion, two hundred twenty-four million, four hundred forty-two thousand, one hundred one".