131045414303100 has 144 divisors (see below), whose sum is σ = 413713220659200. Its totient is φ = 31761961612800.

The previous prime is 131045414303071. The next prime is 131045414303137. The reversal of 131045414303100 is 1303414540131.

131045414303100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131045414303100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11699304 + ... + 19974096.

It is an arithmetic number, because the mean of its divisors is an integer number (2873008476800).

Almost surely, 2^{131045414303100} is an apocalyptic number.

131045414303100 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 131045414303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206856610329600).

131045414303100 is an abundant number, since it is smaller than the sum of its proper divisors (282667806356100).

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

131045414303100 is a wasteful number, since it uses less digits than its factorization.

131045414303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8279620 (or 8279613 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 131045414303100 its reverse (1303414540131), we get a palindrome (132348828843231).

The spelling of 131045414303100 in words is "one hundred thirty-one trillion, forty-five billion, four hundred fourteen million, three hundred three thousand, one hundred".