131243133300444 has 288 divisors, whose sum is σ = 375237159897600. Its totient is φ = 38332695582720.

The previous prime is 131243133300341. The next prime is 131243133300469. The reversal of 131243133300444 is 444003331342131.

131243133300444 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 4 + 313 + 330 + 0 + 4 + 4 + 4 = 666.

131243133300444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131243133300444² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131243133300399 and 131243133300408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 762206392 + ... + 762378560.

It is an arithmetic number, because the mean of its divisors is an integer number (1302906805200).

Almost surely, 2^{131243133300444} 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 131243133300444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187618579948800).

131243133300444 is an abundant number, since it is smaller than the sum of its proper divisors (243994026597156).

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

131243133300444 is a wasteful number, since it uses less digits than its factorization.

131243133300444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172825 (or 172820 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 131243133300444 its reverse (444003331342131), we get a palindrome (575246464642575).

The spelling of 131243133300444 in words is "one hundred thirty-one trillion, two hundred forty-three billion, one hundred thirty-three million, three hundred thousand, four hundred forty-four".