131030906664 has 192 divisors, whose sum is σ = 403841972160. Its totient is φ = 35203123200.

The previous prime is 131030906651. The next prime is 131030906701. The reversal of 131030906664 is 466609030131.

131030906664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 29006134 + ... + 29010650.

It is an arithmetic number, because the mean of its divisors is an integer number (2103343605).

Almost surely, 2^131030906664 is an apocalyptic number.

131030906664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131030906664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201920986080).

131030906664 is an abundant number, since it is smaller than the sum of its proper divisors (272811065496).

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

131030906664 is a wasteful number, since it uses less digits than its factorization.

131030906664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6008 (or 5997 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

Adding to 131030906664 its reverse (466609030131), we get a palindrome (597639936795).

The spelling of 131030906664 in words is "one hundred thirty-one billion, thirty million, nine hundred six thousand, six hundred sixty-four".