131402334322000 has 160 divisors (see below), whose sum is σ = 364198488376320. Its totient is φ = 44918541158400.

The previous prime is 131402334321967. The next prime is 131402334322031. The reversal of 131402334322000 is 223433204131.

It is a happy number.

131402334322000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 131402334322000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9207640 + ... + 18643639.

It is an arithmetic number, because the mean of its divisors is an integer number (2276240552352).

Almost surely, 2^{131402334322000} is an apocalyptic number.

131402334322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131402334322000 is an abundant number, since it is smaller than the sum of its proper divisors (232796154054320).

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

131402334322000 is a wasteful number, since it uses less digits than its factorization.

131402334322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27851646 (or 27851630 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 131402334322000 its reverse (223433204131), we get a palindrome (131625767526131).

The spelling of 131402334322000 in words is "one hundred thirty-one trillion, four hundred two billion, three hundred thirty-four million, three hundred twenty-two thousand".