131212131200 has 192 divisors, whose sum is σ = 329311422720. Its totient is φ = 51653376000.

The previous prime is 131212131191. The next prime is 131212131209. The reversal of 131212131200 is 2131212131.

It is an interprime number because it is at equal distance from previous prime (131212131191) and next prime (131212131209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131212131209) 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, 55810025 + ... + 55812375.

It is an arithmetic number, because the mean of its divisors is an integer number (1715163660).

Almost surely, 2^131212131200 is an apocalyptic number.

131212131200 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 131212131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164655711360).

131212131200 is an abundant number, since it is smaller than the sum of its proper divisors (198099291520).

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

131212131200 is a wasteful number, since it uses less digits than its factorization.

131212131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 131212131200 its reverse (2131212131), we get a palindrome (133343343331).

The spelling of 131212131200 in words is "one hundred thirty-one billion, two hundred twelve million, one hundred thirty-one thousand, two hundred".