131331444453440 has 448 divisors, whose sum is σ = 395188955965440. Its totient is φ = 40380775464960.

The previous prime is 131331444453389. The next prime is 131331444453481. The reversal of 131331444453440 is 44354444133131.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×131331444453440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 131331444453391 and 131331444453400.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1376318051 + ... + 1376413469.

It is an arithmetic number, because the mean of its divisors is an integer number (882118205280).

Almost surely, 2^{131331444453440} is an apocalyptic number.

131331444453440 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 131331444453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197594477982720).

131331444453440 is an abundant number, since it is smaller than the sum of its proper divisors (263857511512000).

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

131331444453440 is a wasteful number, since it uses less digits than its factorization.

131331444453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96210 (or 96200 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 44.

Adding to 131331444453440 its reverse (44354444133131), we get a palindrome (175685888586571).

It can be divided in two parts, 1313314 and 44453440, that added together give a palindrome (45766754).

The spelling of 131331444453440 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, four hundred forty-four million, four hundred fifty-three thousand, four hundred forty".