131410434144 has 96 divisors (see below), whose sum is σ = 385063265664. Its totient is φ = 38895252480.

The previous prime is 131410434139. The next prime is 131410434223. The reversal of 131410434144 is 441434014131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×131410434144² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1401589 + ... + 1492404.

It is an arithmetic number, because the mean of its divisors is an integer number (4011075684).

Almost surely, 2^131410434144 is an apocalyptic number.

It is an amenable number.

131410434144 is an abundant number, since it is smaller than the sum of its proper divisors (253652831520).

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

131410434144 is a wasteful number, since it uses less digits than its factorization.

131410434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894060 (or 2894052 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 131410434144 its reverse (441434014131), we get a palindrome (572844448275).

The spelling of 131410434144 in words is "one hundred thirty-one billion, four hundred ten million, four hundred thirty-four thousand, one hundred forty-four".