131194103040 has 1728 divisors, whose sum is σ = 630830333952. Its totient is φ = 24286003200.

The previous prime is 131194102997. The next prime is 131194103083. The reversal of 131194103040 is 40301491131.

131194103040 is a `hidden beast` number, since 1 + 311 + 9 + 41 + 0 + 304 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131194102997) and next prime (131194103083).

It is a junction number, because it is equal to n+sod(n) for n = 131194102995 and 131194103013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 357476937 + ... + 357477303.

Almost surely, 2^131194103040 is an apocalyptic number.

131194103040 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 131194103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315415166976).

131194103040 is an abundant number, since it is smaller than the sum of its proper divisors (499636230912).

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

131194103040 is a wasteful number, since it uses less digits than its factorization.

131194103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 131194103040 its reverse (40301491131), we get a palindrome (171495594171).

The spelling of 131194103040 in words is "one hundred thirty-one billion, one hundred ninety-four million, one hundred three thousand, forty".