12313134000 has 600 divisors, whose sum is σ = 47425723488. Its totient is φ = 3078604800.

The previous prime is 12313133957. The next prime is 12313134007. The reversal of 12313134000 is 43131321.

12313134000 is a `hidden beast` number, since 1 + 231 + 31 + 3 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×12313134000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12313134007) 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 119 ways as a sum of consecutive naturals, for example, 46817869 + ... + 46818131.

Almost surely, 2^12313134000 is an apocalyptic number.

12313134000 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 12313134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23712861744).

12313134000 is an abundant number, since it is smaller than the sum of its proper divisors (35112589488).

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

12313134000 is a wasteful number, since it uses less digits than its factorization.

12313134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12313134000 its reverse (43131321), we get a palindrome (12356265321).

The spelling of 12313134000 in words is "twelve billion, three hundred thirteen million, one hundred thirty-four thousand".