131444232114320 has 80 divisors (see below), whose sum is σ = 316701661158000. Its totient is φ = 50675451101184.

The previous prime is 131444232114269. The next prime is 131444232114347. The reversal of 131444232114320 is 23411232444131.

It can be written as a sum of positive squares in 8 ways, for example, as 2284825726096 + 129159406388224 = 1511564^2 + 11364832^2 .

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

It is a super-2 number, since 2×131444232114320² (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 15 ways as a sum of consecutive naturals, for example, 48466385 + ... + 51106544.

It is an arithmetic number, because the mean of its divisors is an integer number (3958770764475).

Almost surely, 2^{131444232114320} is an apocalyptic number.

131444232114320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131444232114320 is an abundant number, since it is smaller than the sum of its proper divisors (185257429043680).

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

131444232114320 is a wasteful number, since it uses less digits than its factorization.

131444232114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99573540 (or 99573534 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 131444232114320 its reverse (23411232444131), we get a palindrome (154855464558451).

The spelling of 131444232114320 in words is "one hundred thirty-one trillion, four hundred forty-four billion, two hundred thirty-two million, one hundred fourteen thousand, three hundred twenty".