131816220728115 has 288 divisors, whose sum is σ = 274694883724800. Its totient is φ = 53373496458240.

The previous prime is 131816220727993. The next prime is 131816220728119. The reversal of 131816220728115 is 511827022618131.

It is not a de Polignac number, because 131816220728115 - 2¹⁸ = 131816220465971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131816220728119) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6114197706 + ... + 6114219264.

It is an arithmetic number, because the mean of its divisors is an integer number (953801679600).

Almost surely, 2^{131816220728115} is an apocalyptic number.

131816220728115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131816220728115 is an abundant number, since it is smaller than the sum of its proper divisors (142878662996685).

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

131816220728115 is a wasteful number, since it uses less digits than its factorization.

131816220728115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22087 (or 22037 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 131816220728115 in words is "one hundred thirty-one trillion, eight hundred sixteen billion, two hundred twenty million, seven hundred twenty-eight thousand, one hundred fifteen".