131323211323100 has 72 divisors (see below), whose sum is σ = 287115903281088. Its totient is φ = 52134150784000.

The previous prime is 131323211323093. The next prime is 131323211323103. The reversal of 131323211323100 is 1323112323131.

It is a super-2 number, since 2×131323211323100² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131323211323100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131323211323103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60069200 + ... + 62217000.

It is an arithmetic number, because the mean of its divisors is an integer number (3987720878904).

Almost surely, 2^{131323211323100} is an apocalyptic number.

131323211323100 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 131323211323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143557951640544).

131323211323100 is an abundant number, since it is smaller than the sum of its proper divisors (155792691957988).

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

131323211323100 is a wasteful number, since it uses less digits than its factorization.

131323211323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152415 (or 2152408 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 131323211323100 its reverse (1323112323131), we get a palindrome (132646323646231).

The spelling of 131323211323100 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, two hundred eleven million, three hundred twenty-three thousand, one hundred".