131213122311000 has 512 divisors, whose sum is σ = 421798009651200. Its totient is φ = 33935499417600.

The previous prime is 131213122310969. The next prime is 131213122311083. The reversal of 131213122311000 is 113221312131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58603447881 + ... + 58603450119.

It is an arithmetic number, because the mean of its divisors is an integer number (823824237600).

Almost surely, 2^{131213122311000} is an apocalyptic number.

131213122311000 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 131213122311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210899004825600).

131213122311000 is an abundant number, since it is smaller than the sum of its proper divisors (290584887340200).

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

131213122311000 is a wasteful number, since it uses less digits than its factorization.

131213122311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 131213122311000 its reverse (113221312131), we get a palindrome (131326343623131).

The spelling of 131213122311000 in words is "one hundred thirty-one trillion, two hundred thirteen billion, one hundred twenty-two million, three hundred eleven thousand".