131322152000000 has 280 divisors, whose sum is σ = 353210125493148. Its totient is φ = 48488140800000.

The previous prime is 131322151999991. The next prime is 131322152000009. The reversal of 131322152000000 is 251223131.

It is an interprime number because it is at equal distance from previous prime (131322151999991) and next prime (131322152000009).

It can be written as a sum of positive squares in 14 ways, for example, as 131320965335296 + 1186664704 = 11459536^2 + 34448^2 .

It is a super-2 number, since 2×131322152000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (131322152000009) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 103368644 + ... + 104631356.

Almost surely, 2^{131322152000000} is an apocalyptic number.

131322152000000 is a gapful number since it is divisible by the number (10) 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 131322152000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176605062746574).

131322152000000 is an abundant number, since it is smaller than the sum of its proper divisors (221887973493148).

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

131322152000000 is an frugal number, since it uses more digits than its factorization.

131322152000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262774 (or 1262733 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The spelling of 131322152000000 in words is "one hundred thirty-one trillion, three hundred twenty-two billion, one hundred fifty-two million", and thus it is an aban number.