131123100000 has 144 divisors (see below), whose sum is σ = 430221120336. Its totient is φ = 34966080000.

The previous prime is 131123099983. The next prime is 131123100001. The reversal of 131123100000 is 1321131.

It is a super-2 number, since 2×131123100000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131123100001) 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 23 ways as a sum of consecutive naturals, for example, 81462 + ... + 518538.

It is an arithmetic number, because the mean of its divisors is an integer number (2987646669).

Almost surely, 2^131123100000 is an apocalyptic number.

131123100000 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 131123100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215110560168).

131123100000 is an abundant number, since it is smaller than the sum of its proper divisors (299098020336).

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

131123100000 is an frugal number, since it uses more digits than its factorization.

131123100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437115 (or 437087 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 131123100000 its reverse (1321131), we get a palindrome (131124421131).

The spelling of 131123100000 in words is "one hundred thirty-one billion, one hundred twenty-three million, one hundred thousand".