131133434432 has 336 divisors, whose sum is σ = 358774569216. Its totient is φ = 46257868800.

The previous prime is 131133434407. The next prime is 131133434447. The reversal of 131133434432 is 234434331131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 37347557 + ... + 37351067.

It is an arithmetic number, because the mean of its divisors is an integer number (1067781456).

Almost surely, 2^131133434432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131133434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179387284608).

131133434432 is an abundant number, since it is smaller than the sum of its proper divisors (227641134784).

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

131133434432 is a wasteful number, since it uses less digits than its factorization.

131133434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3597 counting only the distinct ones).

The product of its digits is 31104, while the sum is 32.

Adding to 131133434432 its reverse (234434331131), we get a palindrome (365567765563).

It can be divided in two parts, 131133 and 434432, that added together give a palindrome (565565).

The spelling of 131133434432 in words is "one hundred thirty-one billion, one hundred thirty-three million, four hundred thirty-four thousand, four hundred thirty-two".