131238103824 has 225 divisors, whose sum is σ = 394527730597. Its totient is φ = 42115828608.

The previous prime is 131238103757. The next prime is 131238103849. The reversal of 131238103824 is 428301832131.

The square root of 131238103824 is 362268.

It is a perfect power (a square), and thus also a powerful number.

131238103824 is a `hidden beast` number, since 1 + 31 + 238 + 10 + 382 + 4 = 666.

131238103824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 68818078224 + 62420025600 = 262332^2 + 249840^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 378207619 + ... + 378207965.

Almost surely, 2^131238103824 is an apocalyptic number.

131238103824 is the 362268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131238103824

131238103824 is an abundant number, since it is smaller than the sum of its proper divisors (263289626773).

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

131238103824 is an frugal number, since it uses more digits than its factorization.

131238103824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 131238103824 by its sum of digits (36), we get a square (4724571737664 = 2173608²).

131238103824 divided by its sum of digits (36) gives a square (3645502884 = 60378²).

Adding to 131238103824 its reverse (428301832131), we get a palindrome (559539935955).

The spelling of 131238103824 in words is "one hundred thirty-one billion, two hundred thirty-eight million, one hundred three thousand, eight hundred twenty-four".