131405245335100 has 216 divisors, whose sum is σ = 314629267438080. Its totient is φ = 47600990236800.

The previous prime is 131405245335079. The next prime is 131405245335163. The reversal of 131405245335100 is 1533542504131.

It is a super-2 number, since 2×131405245335100² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131405245335100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3957615099 + ... + 3957648301.

It is an arithmetic number, because the mean of its divisors is an integer number (1456616978880).

Almost surely, 2^{131405245335100} is an apocalyptic number.

131405245335100 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 131405245335100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157314633719040).

131405245335100 is an abundant number, since it is smaller than the sum of its proper divisors (183224022102980).

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

131405245335100 is a wasteful number, since it uses less digits than its factorization.

131405245335100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34481 (or 34463 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

Adding to 131405245335100 its reverse (1533542504131), we get a palindrome (132938787839231).

The spelling of 131405245335100 in words is "one hundred thirty-one trillion, four hundred five billion, two hundred forty-five million, three hundred thirty-five thousand, one hundred".