131627710513 has 8 divisors (see below), whose sum is σ = 142037000000. Its totient is φ = 121259004048.

The previous prime is 131627710447. The next prime is 131627710519. The reversal of 131627710513 is 315017726131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-131627710513 is a prime.

It is a super-3 number, since 3×131627710513³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131627710519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10139013 + ... + 10151986.

It is an arithmetic number, because the mean of its divisors is an integer number (17754625000).

Almost surely, 2^131627710513 is an apocalyptic number.

131627710513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131627710513 is a deficient number, since it is larger than the sum of its proper divisors (10409289487).

131627710513 is a wasteful number, since it uses less digits than its factorization.

131627710513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20291511.

The product of its (nonzero) digits is 26460, while the sum is 37.

The spelling of 131627710513 in words is "one hundred thirty-one billion, six hundred twenty-seven million, seven hundred ten thousand, five hundred thirteen".