131413111401300 has 144 divisors (see below), whose sum is σ = 383086547141760. Its totient is φ = 34780467637760.

The previous prime is 131413111401277. The next prime is 131413111401329. The reversal of 131413111401300 is 3104111314131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18128254 + ... + 24319946.

It is an arithmetic number, because the mean of its divisors is an integer number (2660323244040).

Almost surely, 2^{131413111401300} is an apocalyptic number.

131413111401300 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 131413111401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191543273570880).

131413111401300 is an abundant number, since it is smaller than the sum of its proper divisors (251673435740460).

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

131413111401300 is a wasteful number, since it uses less digits than its factorization.

131413111401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6192242 (or 6192235 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 131413111401300 its reverse (3104111314131), we get a palindrome (134517222715431).

The spelling of 131413111401300 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred eleven million, four hundred one thousand, three hundred".