131344033123200 has 384 divisors, whose sum is σ = 437898517701120. Its totient is φ = 34597405573120.

The previous prime is 131344033123189. The next prime is 131344033123201. The reversal of 131344033123200 is 2321330443131.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131344033123201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7375968697 + ... + 7375986503.

It is an arithmetic number, because the mean of its divisors is an integer number (1140360723180).

Almost surely, 2^{131344033123200} is an apocalyptic number.

131344033123200 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 131344033123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218949258850560).

131344033123200 is an abundant number, since it is smaller than the sum of its proper divisors (306554484577920).

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

131344033123200 is a wasteful number, since it uses less digits than its factorization.

131344033123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27174 (or 27157 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 131344033123200 its reverse (2321330443131), we get a palindrome (133665363566331).

The spelling of 131344033123200 in words is "one hundred thirty-one trillion, three hundred forty-four billion, thirty-three million, one hundred twenty-three thousand, two hundred".