131110211321320 has 128 divisors (see below), whose sum is σ = 367808391993600. Its totient is φ = 40863441715200.

The previous prime is 131110211321311. The next prime is 131110211321321. The reversal of 131110211321320 is 23123112011131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131110211321291 and 131110211321300.

It is not an unprimeable number, because it can be changed into a prime (131110211321321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60037546 + ... + 62183014.

It is an arithmetic number, because the mean of its divisors is an integer number (2873503062450).

Almost surely, 2^{131110211321320} is an apocalyptic number.

131110211321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131110211321320 is an abundant number, since it is smaller than the sum of its proper divisors (236698180672280).

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

131110211321320 is a wasteful number, since it uses less digits than its factorization.

131110211321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165339 (or 2165335 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 131110211321320 its reverse (23123112011131), we get a palindrome (154233323332451).

The spelling of 131110211321320 in words is "one hundred thirty-one trillion, one hundred ten billion, two hundred eleven million, three hundred twenty-one thousand, three hundred twenty".