131506610610 has 64 divisors (see below), whose sum is σ = 324097855488. Its totient is φ = 34131754944.

The previous prime is 131506610569. The next prime is 131506610617. The reversal of 131506610610 is 16016605131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131506610617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184959 + ... + 545181.

It is an arithmetic number, because the mean of its divisors is an integer number (5064028992).

Almost surely, 2^131506610610 is an apocalyptic number.

131506610610 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 131506610610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162048927744).

131506610610 is an abundant number, since it is smaller than the sum of its proper divisors (192591244878).

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

131506610610 is a wasteful number, since it uses less digits than its factorization.

131506610610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360559.

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 131506610610 in words is "one hundred thirty-one billion, five hundred six million, six hundred ten thousand, six hundred ten".