131413330414440 has 320 divisors, whose sum is σ = 459885383107920. Its totient is φ = 33628359168000.

The previous prime is 131413330414433. The next prime is 131413330414447. The reversal of 131413330414440 is 44414033314131.

131413330414440 is a `hidden beast` number, since 1 + 3 + 14 + 133 + 30 + 41 + 4 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (131413330414433) and next prime (131413330414447).

It can be written as a sum of positive squares in 8 ways, for example, as 6140692153764 + 125272638260676 = 2478042^2 + 11192526^2 .

It is a super-2 number, since 2×131413330414440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131413330414395 and 131413330414404.

It is not an unprimeable number, because it can be changed into a prime (131413330414447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5451 + ... + 16211930.

Almost surely, 2^{131413330414440} is an apocalyptic number.

131413330414440 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 131413330414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229942691553960).

131413330414440 is an abundant number, since it is smaller than the sum of its proper divisors (328472052693480).

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

131413330414440 is a wasteful number, since it uses less digits than its factorization.

131413330414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16217506 (or 16217493 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 131413330414440 its reverse (44414033314131), we get a palindrome (175827363728571).

The spelling of 131413330414440 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirty million, four hundred fourteen thousand, four hundred forty".