131424200001312 has 96 divisors (see below), whose sum is σ = 352518051158784. Its totient is φ = 42852938188800.

The previous prime is 131424200001287. The next prime is 131424200001371. The reversal of 131424200001312 is 213100002424131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×131424200001312³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571012 + ... + 16222652.

It is an arithmetic number, because the mean of its divisors is an integer number (3672063032904).

Almost surely, 2^{131424200001312} is an apocalyptic number.

131424200001312 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 131424200001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176259025579392).

131424200001312 is an abundant number, since it is smaller than the sum of its proper divisors (221093851157472).

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

131424200001312 is a wasteful number, since it uses less digits than its factorization.

131424200001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15653562 (or 15653554 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131424200001312 its reverse (213100002424131), we get a palindrome (344524202425443).

The spelling of 131424200001312 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, two hundred million, one thousand, three hundred twelve".