131761740100 has 27 divisors (see below), whose sum is σ = 285930853117. Its totient is φ = 52703244080.

The previous prime is 131761740049. The next prime is 131761740119. The reversal of 131761740100 is 1047167131.

The square root of 131761740100 is 362990.

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

131761740100 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., 47434226436 + 84327513664 = 217794^2 + 290392^2 .

It is a super-2 number, since 2×131761740100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3611751 + ... + 3648049.

Almost surely, 2^131761740100 is an apocalyptic number.

131761740100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131761740100 is the 362990-th square number.

It is an amenable number.

131761740100 is an abundant number, since it is smaller than the sum of its proper divisors (154169113017).

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

131761740100 is an frugal number, since it uses more digits than its factorization.

131761740100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72612 (or 36306 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The spelling of 131761740100 in words is "one hundred thirty-one billion, seven hundred sixty-one million, seven hundred forty thousand, one hundred".