131134205210240 has 32 divisors (see below), whose sum is σ = 313492709332260. Its totient is φ = 52453682083840.

The previous prime is 131134205210227. The next prime is 131134205210317. The reversal of 131134205210240 is 42012502431131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 124922825364544 + 6211379845696 = 11176888^2 + 2492264^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×131134205210240² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102448597181 + ... + 102448598460.

Almost surely, 2^{131134205210240} is an apocalyptic number.

131134205210240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131134205210240 is an abundant number, since it is smaller than the sum of its proper divisors (182358504122020).

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

131134205210240 is an equidigital number, since it uses as much as digits as its factorization.

131134205210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204897195660 (or 204897195648 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 131134205210240 its reverse (42012502431131), we get a palindrome (173146707641371).

The spelling of 131134205210240 in words is "one hundred thirty-one trillion, one hundred thirty-four billion, two hundred five million, two hundred ten thousand, two hundred forty".