131161485312 has 624 divisors, whose sum is σ = 450806428800. Its totient is φ = 36221091840.

The previous prime is 131161485293. The next prime is 131161485319. The reversal of 131161485312 is 213584161131.

131161485312 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 614 + 8 + 5 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131161485319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732745639 + ... + 732745817.

It is an arithmetic number, because the mean of its divisors is an integer number (722446200).

Almost surely, 2^131161485312 is an apocalyptic number.

131161485312 is a gapful number since it is divisible by the number (12) 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 131161485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225403214400).

131161485312 is an abundant number, since it is smaller than the sum of its proper divisors (319644943488).

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

131161485312 is a wasteful number, since it uses less digits than its factorization.

131161485312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 347 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 131161485312 in words is "one hundred thirty-one billion, one hundred sixty-one million, four hundred eighty-five thousand, three hundred twelve".