131323001113100 has 144 divisors (see below), whose sum is σ = 294736384914048. Its totient is φ = 50755882383360.

The previous prime is 131323001113019. The next prime is 131323001113103. The reversal of 131323001113100 is 1311100323131.

It is a super-2 number, since 2×131323001113100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (131323001113103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 945496259 + ... + 945635141.

It is an arithmetic number, because the mean of its divisors is an integer number (2046780450792).

Almost surely, 2^{131323001113100} is an apocalyptic number.

131323001113100 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 131323001113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147368192457024).

131323001113100 is an abundant number, since it is smaller than the sum of its proper divisors (163413383800948).

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

131323001113100 is a wasteful number, since it uses less digits than its factorization.

131323001113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141304 (or 141297 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 131323001113100 its reverse (1311100323131), we get a palindrome (132634101436231).

The spelling of 131323001113100 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, one million, one hundred thirteen thousand, one hundred".