131053104 has 240 divisors, whose sum is σ = 460928832. Its totient is φ = 33841152.

The previous prime is 131053067. The next prime is 131053147. The reversal of 131053104 is 401350131.

131053104 is a `hidden beast` number, since 131 + 0 + 531 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 956524 + ... + 956660.

Almost surely, 2^131053104 is an apocalyptic number.

131053104 is a gapful number since it is divisible by the number (14) 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 131053104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230464416).

131053104 is an abundant number, since it is smaller than the sum of its proper divisors (329875728).

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

131053104 is a wasteful number, since it uses less digits than its factorization.

131053104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131053104 is about 11447.8427662158. The cubic root of 131053104 is about 507.9439250317.

The spelling of 131053104 in words is "one hundred thirty-one million, fifty-three thousand, one hundred four".