131330051456 has 64 divisors (see below), whose sum is σ = 271656763200. Its totient is φ = 63166279680.

The previous prime is 131330051441. The next prime is 131330051459. The reversal of 131330051456 is 654150033131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330051459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 940676 + ... + 1071228.

It is an arithmetic number, because the mean of its divisors is an integer number (4244636925).

Almost surely, 2^131330051456 is an apocalyptic number.

131330051456 is a gapful number since it is divisible by the number (16) 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 131330051456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135828381600).

131330051456 is an abundant number, since it is smaller than the sum of its proper divisors (140326711744).

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

131330051456 is a wasteful number, since it uses less digits than its factorization.

131330051456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130867 (or 130855 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

Adding to 131330051456 its reverse (654150033131), we get a palindrome (785480084587).

The spelling of 131330051456 in words is "one hundred thirty-one billion, three hundred thirty million, fifty-one thousand, four hundred fifty-six".