131512131144450 has 288 divisors, whose sum is σ = 405644146577280. Its totient is φ = 29923036416000.

The previous prime is 131512131144431. The next prime is 131512131144469. The reversal of 131512131144450 is 54441131215131.

131512131144450 is a `hidden beast` number, since 1 + 3 + 1 + 51 + 2 + 13 + 1 + 144 + 450 = 666.

It is an interprime number because it is at equal distance from previous prime (131512131144431) and next prime (131512131144469).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8429716650 + ... + 8429732250.

It is an arithmetic number, because the mean of its divisors is an integer number (1408486620060).

Almost surely, 2^{131512131144450} is an apocalyptic number.

131512131144450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131512131144450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202822073288640).

131512131144450 is an abundant number, since it is smaller than the sum of its proper divisors (274132015432830).

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

131512131144450 is a wasteful number, since it uses less digits than its factorization.

131512131144450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27642 (or 27634 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 131512131144450 its reverse (54441131215131), we get a palindrome (185953262359581).

The spelling of 131512131144450 in words is "one hundred thirty-one trillion, five hundred twelve billion, one hundred thirty-one million, one hundred forty-four thousand, four hundred fifty".