131011414320 has 160 divisors (see below), whose sum is σ = 409754220480. Its totient is φ = 34626457600.

The previous prime is 131011414319. The next prime is 131011414321. The reversal of 131011414320 is 23414110131.

It is an interprime number because it is at equal distance from previous prime (131011414319) and next prime (131011414321).

It is not an unprimeable number, because it can be changed into a prime (131011414321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12713170 + ... + 12723470.

It is an arithmetic number, because the mean of its divisors is an integer number (2560963878).

Almost surely, 2^131011414320 is an apocalyptic number.

131011414320 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 131011414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204877110240).

131011414320 is an abundant number, since it is smaller than the sum of its proper divisors (278742806160).

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

131011414320 is a wasteful number, since it uses less digits than its factorization.

131011414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10783 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131011414320 its reverse (23414110131), we get a palindrome (154425524451).

The spelling of 131011414320 in words is "one hundred thirty-one billion, eleven million, four hundred fourteen thousand, three hundred twenty".