131001110414320 has 80 divisors (see below), whose sum is σ = 309678217182720. Its totient is φ = 51523512422400.

The previous prime is 131001110414287. The next prime is 131001110414333. The reversal of 131001110414320 is 23414011100131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×131001110414320² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131001110414291 and 131001110414300.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9387400 + ... + 18711640.

It is an arithmetic number, because the mean of its divisors is an integer number (3870977714784).

Almost surely, 2^{131001110414320} is an apocalyptic number.

131001110414320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131001110414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154839108591360).

131001110414320 is an abundant number, since it is smaller than the sum of its proper divisors (178677106768400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131001110414320 is a wasteful number, since it uses less digits than its factorization.

131001110414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9327194 (or 9327188 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 131001110414320 its reverse (23414011100131), we get a palindrome (154415121514451).

The spelling of 131001110414320 in words is "one hundred thirty-one trillion, one billion, one hundred ten million, four hundred fourteen thousand, three hundred twenty".