131331213013200 has 180 divisors, whose sum is σ = 432375167468160. Its totient is φ = 34075125112320.

The previous prime is 131331213013159. The next prime is 131331213013201. The reversal of 131331213013200 is 2310312133131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331213013201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38328960 + ... + 41614559.

It is an arithmetic number, because the mean of its divisors is an integer number (2402084263712).

Almost surely, 2^{131331213013200} is an apocalyptic number.

131331213013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131331213013200 is an abundant number, since it is smaller than the sum of its proper divisors (301043954454960).

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

131331213013200 is a wasteful number, since it uses less digits than its factorization.

131331213013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79943614 (or 79943566 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131331213013200 its reverse (2310312133131), we get a palindrome (133641525146331).

The spelling of 131331213013200 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, two hundred thirteen million, thirteen thousand, two hundred".