131110016160 has 288 divisors, whose sum is σ = 441568737792. Its totient is φ = 32665006080.

The previous prime is 131110016159. The next prime is 131110016179. The reversal of 131110016160 is 61610011131.

It is a super-2 number, since 2×131110016160² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12508842 + ... + 12519318.

It is an arithmetic number, because the mean of its divisors is an integer number (1533224784).

Almost surely, 2^131110016160 is an apocalyptic number.

131110016160 is a gapful number since it is divisible by the number (10) 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 131110016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220784368896).

131110016160 is an abundant number, since it is smaller than the sum of its proper divisors (310458721632).

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

131110016160 is a wasteful number, since it uses less digits than its factorization.

131110016160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10584 (or 10547 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 131110016160 its reverse (61610011131), we get a palindrome (192720027291).

The spelling of 131110016160 in words is "one hundred thirty-one billion, one hundred ten million, sixteen thousand, one hundred sixty".