131412334344320 has 32 divisors (see below), whose sum is σ = 314157611793420. Its totient is φ = 52564933737472.

The previous prime is 131412334344293. The next prime is 131412334344329. The reversal of 131412334344320 is 23443433214131.

It can be written as a sum of positive squares in 2 ways, for example, as 111323938632256 + 20088395712064 = 10551016^2 + 4482008^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (131412334344329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102665885567 + ... + 102665886846.

Almost surely, 2^{131412334344320} is an apocalyptic number.

131412334344320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131412334344320 is an abundant number, since it is smaller than the sum of its proper divisors (182745277449100).

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

131412334344320 is an equidigital number, since it uses as much as digits as its factorization.

131412334344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205331772432 (or 205331772420 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 38.

Adding to 131412334344320 its reverse (23443433214131), we get a palindrome (154855767558451).

The spelling of 131412334344320 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-four million, three hundred forty-four thousand, three hundred twenty".