131879375104 has 27 divisors (see below), whose sum is σ = 263255195077. Its totient is φ = 65936782336.

The previous prime is 131879375101. The next prime is 131879375107. The reversal of 131879375104 is 401573978131.

The square root of 131879375104 is 363152.

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

131879375104 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (131879375101) and next prime (131879375107).

It can be written as a sum of positive squares in only one way, i.e., 290361600 + 131589013504 = 17040^2 + 362752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131879375101) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 5799084 + ... + 5821780.

Almost surely, 2^131879375104 is an apocalyptic number.

131879375104 is the 363152-nd square number.

It is an amenable number.

131879375104 is a deficient number, since it is larger than the sum of its proper divisors (131375819973).

131879375104 is an frugal number, since it uses more digits than its factorization.

131879375104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45410 (or 22699 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

Multiplying 131879375104 by its sum of digits (49), we get a square (6462089380096 = 2542064²).

The spelling of 131879375104 in words is "one hundred thirty-one billion, eight hundred seventy-nine million, three hundred seventy-five thousand, one hundred four".