131403503545314 has 1152 divisors, whose sum is σ = 408882544358400. Its totient is φ = 27562422666240.

The previous prime is 131403503545273. The next prime is 131403503545361. The reversal of 131403503545314 is 413545305304131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12254354757 + ... + 12254365479.

It is an arithmetic number, because the mean of its divisors is an integer number (354932764200).

Almost surely, 2^{131403503545314} is an apocalyptic number.

131403503545314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131403503545314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204441272179200).

131403503545314 is an abundant number, since it is smaller than the sum of its proper divisors (277479040813086).

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

131403503545314 is a wasteful number, since it uses less digits than its factorization.

131403503545314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10860 (or 10830 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 131403503545314 its reverse (413545305304131), we get a palindrome (544948808849445).

The spelling of 131403503545314 in words is "one hundred thirty-one trillion, four hundred three billion, five hundred three million, five hundred forty-five thousand, three hundred fourteen".