131011431424320 has 56 divisors (see below), whose sum is σ = 415961294775264. Its totient is φ = 34936381712896.

The previous prime is 131011431424319. The next prime is 131011431424343. The reversal of 131011431424320 is 23424134110131.

131011431424320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68235119574 + ... + 68235121493.

It is an arithmetic number, because the mean of its divisors is an integer number (7427880263844).

Almost surely, 2^{131011431424320} is an apocalyptic number.

131011431424320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131011431424320 is an abundant number, since it is smaller than the sum of its proper divisors (284949863350944).

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

131011431424320 is a wasteful number, since it uses less digits than its factorization.

131011431424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136470241087 (or 136470241077 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131011431424320 its reverse (23424134110131), we get a palindrome (154435565534451).

The spelling of 131011431424320 in words is "one hundred thirty-one trillion, eleven billion, four hundred thirty-one million, four hundred twenty-four thousand, three hundred twenty".