131521034121344 has 128 divisors (see below), whose sum is σ = 300274128000000. Its totient is φ = 56210298835968.

The previous prime is 131521034121299. The next prime is 131521034121353. The reversal of 131521034121344 is 443121430125131.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589618667 + ... + 589841685.

It is an arithmetic number, because the mean of its divisors is an integer number (2345891625000).

Almost surely, 2^{131521034121344} is an apocalyptic number.

131521034121344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131521034121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150137064000000).

131521034121344 is an abundant number, since it is smaller than the sum of its proper divisors (168753093878656).

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

131521034121344 is a wasteful number, since it uses less digits than its factorization.

131521034121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224858 (or 224846 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 131521034121344 its reverse (443121430125131), we get a palindrome (574642464246475).

The spelling of 131521034121344 in words is "one hundred thirty-one trillion, five hundred twenty-one billion, thirty-four million, one hundred twenty-one thousand, three hundred forty-four".