131433102042 has 64 divisors (see below), whose sum is σ = 290253974400. Its totient is φ = 39345152000.

The previous prime is 131433102029. The next prime is 131433102049. The reversal of 131433102042 is 240201334131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131433102049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2971078 + ... + 3014990.

It is an arithmetic number, because the mean of its divisors is an integer number (4535218350).

Almost surely, 2^131433102042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131433102042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145126987200).

131433102042 is an abundant number, since it is smaller than the sum of its proper divisors (158820872358).

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

131433102042 is a wasteful number, since it uses less digits than its factorization.

131433102042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44479.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131433102042 its reverse (240201334131), we get a palindrome (371634436173).

The spelling of 131433102042 in words is "one hundred thirty-one billion, four hundred thirty-three million, one hundred two thousand, forty-two".