131870542580100 has 243 divisors, whose sum is σ = 414709226599759. Its totient is φ = 35049448838400.

The previous prime is 131870542580093. The next prime is 131870542580143. The reversal of 131870542580100 is 1085245078131.

The square root of 131870542580100 is 11483490.

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

131870542580100 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 7 + 0 + 54 + 2 + 580 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77820873564996 + 54049669015104 = 8821614^2 + 7351848^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 173285863720 + ... + 173285864480.

Almost surely, 2^{131870542580100} is an apocalyptic number.

131870542580100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131870542580100 is the 11483490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131870542580100

131870542580100 is an abundant number, since it is smaller than the sum of its proper divisors (282838684019659).

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

131870542580100 is an frugal number, since it uses more digits than its factorization.

131870542580100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 131870542580100 in words is "one hundred thirty-one trillion, eight hundred seventy billion, five hundred forty-two million, five hundred eighty thousand, one hundred".