131123321122200 has 768 divisors, whose sum is σ = 486305892288000. Its totient is φ = 28850540544000.

The previous prime is 131123321122193. The next prime is 131123321122267. The reversal of 131123321122200 is 2221123321131.

It is a super-3 number, since 3×131123321122200³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2697375895 + ... + 2697424505.

It is an arithmetic number, because the mean of its divisors is an integer number (633210797250).

Almost surely, 2^{131123321122200} is an apocalyptic number.

131123321122200 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 131123321122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243152946144000).

131123321122200 is an abundant number, since it is smaller than the sum of its proper divisors (355182571165800).

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

131123321122200 is a wasteful number, since it uses less digits than its factorization.

131123321122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49516 (or 49507 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131123321122200 its reverse (2221123321131), we get a palindrome (133344444443331).

The spelling of 131123321122200 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, three hundred twenty-one million, one hundred twenty-two thousand, two hundred".