131000304013344 has 144 divisors (see below), whose sum is σ = 373699754064000. Its totient is φ = 43529965263360.

The previous prime is 131000304013307. The next prime is 131000304013363. The reversal of 131000304013344 is 443310403000131.

131000304013344 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 0 + 304 + 0 + 13 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×131000304013344² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401679657 + ... + 402005655.

It is an arithmetic number, because the mean of its divisors is an integer number (2595137181000).

Almost surely, 2^{131000304013344} 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 131000304013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186849877032000).

131000304013344 is an abundant number, since it is smaller than the sum of its proper divisors (242699450050656).

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

131000304013344 is a wasteful number, since it uses less digits than its factorization.

131000304013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330383 (or 330372 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131000304013344 its reverse (443310403000131), we get a palindrome (574310707013475).

The spelling of 131000304013344 in words is "one hundred thirty-one trillion, three hundred four million, thirteen thousand, three hundred forty-four".