131417663010 has 64 divisors (see below), whose sum is σ = 324108705024. Its totient is φ = 34078406400.

The previous prime is 131417662993. The next prime is 131417663011. The reversal of 131417663010 is 10366714131.

131417663010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131417663011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2000080 + ... + 2064740.

It is an arithmetic number, because the mean of its divisors is an integer number (5064198516).

Almost surely, 2^131417663010 is an apocalyptic number.

131417663010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131417663010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162054352512).

131417663010 is an abundant number, since it is smaller than the sum of its proper divisors (192691042014).

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

131417663010 is a wasteful number, since it uses less digits than its factorization.

131417663010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66539.

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 131417663010 in words is "one hundred thirty-one billion, four hundred seventeen million, six hundred sixty-three thousand, ten".