131821120810 has 32 divisors (see below), whose sum is σ = 245484691200. Its totient is φ = 50905108800.

The previous prime is 131821120799. The next prime is 131821120831. The reversal of 131821120810 is 18021128131.

131821120810 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131821120810² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4229785 + ... + 4260835.

It is an arithmetic number, because the mean of its divisors is an integer number (7671396600).

Almost surely, 2^131821120810 is an apocalyptic number.

131821120810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131821120810 is a deficient number, since it is larger than the sum of its proper divisors (113663570390).

131821120810 is a wasteful number, since it uses less digits than its factorization.

131821120810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45726.

The product of its (nonzero) digits is 768, while the sum is 28.

Adding to 131821120810 its reverse (18021128131), we get a palindrome (149842248941).

The spelling of 131821120810 in words is "one hundred thirty-one billion, eight hundred twenty-one million, one hundred twenty thousand, eight hundred ten".