132400434431313 has 24 divisors (see below), whose sum is σ = 191691223679592. Its totient is φ = 88061049635328.

The previous prime is 132400434431311. The next prime is 132400434431333. The reversal of 132400434431313 is 313134434004231.

132400434431313 is a `hidden beast` number, since 1 + 3 + 2 + 40 + 0 + 43 + 443 + 131 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3092083098624 + 129308351332689 = 1758432^2 + 11371383^2 .

It is not a de Polignac number, because 132400434431313 - 2¹ = 132400434431311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132400434431311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176600395 + ... + 177348527.

It is an arithmetic number, because the mean of its divisors is an integer number (7987134319983).

Almost surely, 2^{132400434431313} is an apocalyptic number.

It is an amenable number.

132400434431313 is a deficient number, since it is larger than the sum of its proper divisors (59290789248279).

132400434431313 is a wasteful number, since it uses less digits than its factorization.

132400434431313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793985 (or 793982 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 132400434431313 its reverse (313134434004231), we get a palindrome (445534868435544).

The spelling of 132400434431313 in words is "one hundred thirty-two trillion, four hundred billion, four hundred thirty-four million, four hundred thirty-one thousand, three hundred thirteen".