131412334133322 has 192 divisors, whose sum is σ = 320570429122944. Its totient is φ = 38556038776320.

The previous prime is 131412334133279. The next prime is 131412334133389. The reversal of 131412334133322 is 223331433214131.

131412334133322 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 233 + 413 + 3 + 3 + 2 + 2 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1378639608 + ... + 1378734924.

It is an arithmetic number, because the mean of its divisors is an integer number (1669637651682).

Almost surely, 2^{131412334133322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131412334133322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160285214561472).

131412334133322 is an abundant number, since it is smaller than the sum of its proper divisors (189158094989622).

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

131412334133322 is a wasteful number, since it uses less digits than its factorization.

131412334133322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96293 (or 96290 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 131412334133322 its reverse (223331433214131), we get a palindrome (354743767347453).

The spelling of 131412334133322 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-four million, one hundred thirty-three thousand, three hundred twenty-two".