131134432301040 has 160 divisors (see below), whose sum is σ = 464618185390080. Its totient is φ = 29971802253312.

The previous prime is 131134432301029. The next prime is 131134432301057. The reversal of 131134432301040 is 40103234431131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131134432300989 and 131134432301007.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26044492 + ... + 30668948.

It is an arithmetic number, because the mean of its divisors is an integer number (2903863658688).

Almost surely, 2^{131134432301040} is an apocalyptic number.

131134432301040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131134432301040 is an abundant number, since it is smaller than the sum of its proper divisors (333483753089040).

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

131134432301040 is a wasteful number, since it uses less digits than its factorization.

131134432301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641359 (or 4641353 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 131134432301040 its reverse (40103234431131), we get a palindrome (171237666732171).

The spelling of 131134432301040 in words is "one hundred thirty-one trillion, one hundred thirty-four billion, four hundred thirty-two million, three hundred one thousand, forty".