131214000000 has 448 divisors, whose sum is σ = 458994124800. Its totient is φ = 33120000000.

The previous prime is 131213999993. The next prime is 131214000067. The reversal of 131214000000 is 412131.

It is a happy number.

It is a super-2 number, since 2×131214000000² (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 self number, because there is not a number n which added to its sum of digits gives 131214000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 113999425 + ... + 114000575.

Almost surely, 2^131214000000 is an apocalyptic number.

131214000000 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 131214000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229497062400).

131214000000 is an abundant number, since it is smaller than the sum of its proper divisors (327780124800).

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

131214000000 is an frugal number, since it uses more digits than its factorization.

131214000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 131214000000 its reverse (412131), we get a palindrome (131214412131).

The spelling of 131214000000 in words is "one hundred thirty-one billion, two hundred fourteen million", and thus it is an aban number.