131435363376 has 120 divisors (see below), whose sum is σ = 388859955120. Its totient is φ = 41327566848.

The previous prime is 131435363363. The next prime is 131435363377. The reversal of 131435363376 is 673363534131.

131435363376 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 3 + 5 + 3 + 633 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (131435363377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534400 + ... + 740576.

It is an arithmetic number, because the mean of its divisors is an integer number (3240499626).

Almost surely, 2^131435363376 is an apocalyptic number.

131435363376 is a gapful number since it is divisible by the number (16) 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 131435363376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194429977560).

131435363376 is an abundant number, since it is smaller than the sum of its proper divisors (257424591744).

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

131435363376 is a wasteful number, since it uses less digits than its factorization.

131435363376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206443 (or 206434 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 45.

The spelling of 131435363376 in words is "one hundred thirty-one billion, four hundred thirty-five million, three hundred sixty-three thousand, three hundred seventy-six".