131344034033040 has 80 divisors (see below), whose sum is σ = 407174125313088. Its totient is φ = 35024420274688.

The previous prime is 131344034033021. The next prime is 131344034033053. The reversal of 131344034033040 is 40330430443131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 131344034032992 and 131344034033010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7798099 + ... + 17986061.

Almost surely, 2^{131344034033040} is an apocalyptic number.

131344034033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131344034033040 is an abundant number, since it is smaller than the sum of its proper divisors (275830091280048).

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

131344034033040 is a wasteful number, since it uses less digits than its factorization.

131344034033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10241696 (or 10241690 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 131344034033040 its reverse (40330430443131), we get a palindrome (171674464476171).

The spelling of 131344034033040 in words is "one hundred thirty-one trillion, three hundred forty-four billion, thirty-four million, thirty-three thousand, forty".