131101111323000 has 1536 divisors, whose sum is σ = 563078066503680. Its totient is φ = 26771212800000.

The previous prime is 131101111322981. The next prime is 131101111323011. The reversal of 131101111323000 is 323111101131.

131101111323000 is a `hidden beast` number, since 1 + 311 + 0 + 11 + 11 + 32 + 300 + 0 = 666.

It is a super-3 number, since 3×131101111323000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5787861675 + ... + 5787884325.

It is an arithmetic number, because the mean of its divisors is an integer number (366587282880).

Almost surely, 2^{131101111323000} is an apocalyptic number.

131101111323000 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 131101111323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281539033251840).

131101111323000 is an abundant number, since it is smaller than the sum of its proper divisors (431976955180680).

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

131101111323000 is a wasteful number, since it uses less digits than its factorization.

131101111323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22926 (or 22909 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131101111323000 its reverse (323111101131), we get a palindrome (131424222424131).

The spelling of 131101111323000 in words is "one hundred thirty-one trillion, one hundred one billion, one hundred eleven million, three hundred twenty-three thousand".