131204110464 has 192 divisors, whose sum is σ = 434890659840. Its totient is φ = 37191426048.

The previous prime is 131204110463. The next prime is 131204110487. The reversal of 131204110464 is 464011402131.

131204110464 is a `hidden beast` number, since 131 + 20 + 41 + 10 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (131204110463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 960072 + ... + 1088184.

It is an arithmetic number, because the mean of its divisors is an integer number (2265055520).

Almost surely, 2^131204110464 is an apocalyptic number.

131204110464 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 131204110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217445329920).

131204110464 is an abundant number, since it is smaller than the sum of its proper divisors (303686549376).

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

131204110464 is a wasteful number, since it uses less digits than its factorization.

131204110464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128267 (or 128252 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131204110464 its reverse (464011402131), we get a palindrome (595215512595).

The spelling of 131204110464 in words is "one hundred thirty-one billion, two hundred four million, one hundred ten thousand, four hundred sixty-four".