131553433322160 has 160 divisors (see below), whose sum is σ = 408839011200000. Its totient is φ = 34992894978048.

The previous prime is 131553433322099. The next prime is 131553433322173. The reversal of 131553433322160 is 61223334355131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2002332991 + ... + 2002398689.

It is an arithmetic number, because the mean of its divisors is an integer number (2555243820000).

Almost surely, 2^{131553433322160} is an apocalyptic number.

131553433322160 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 131553433322160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204419505600000).

131553433322160 is an abundant number, since it is smaller than the sum of its proper divisors (277285577877840).

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

131553433322160 is a wasteful number, since it uses less digits than its factorization.

131553433322160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86523 (or 86517 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

Adding to 131553433322160 its reverse (61223334355131), we get a palindrome (192776767677291).

The spelling of 131553433322160 in words is "one hundred thirty-one trillion, five hundred fifty-three billion, four hundred thirty-three million, three hundred twenty-two thousand, one hundred sixty".