131203434044144 has 80 divisors (see below), whose sum is σ = 316934944984320. Its totient is φ = 51117902599680.

The previous prime is 131203434044117. The next prime is 131203434044149. The reversal of 131203434044144 is 441440434302131.

It is a happy number.

It is a super-2 number, since 2×131203434044144² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131203434044098 and 131203434044107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131203434044149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335128892 + ... + 335520164.

It is an arithmetic number, because the mean of its divisors is an integer number (3961686812304).

Almost surely, 2^{131203434044144} is an apocalyptic number.

131203434044144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131203434044144 is an abundant number, since it is smaller than the sum of its proper divisors (185731510940176).

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

131203434044144 is a wasteful number, since it uses less digits than its factorization.

131203434044144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663478 (or 663472 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 131203434044144 its reverse (441440434302131), we get a palindrome (572643868346275).

The spelling of 131203434044144 in words is "one hundred thirty-one trillion, two hundred three billion, four hundred thirty-four million, forty-four thousand, one hundred forty-four".