13131231234000 has 320 divisors, whose sum is σ = 46355483416320. Its totient is φ = 3171490560000.

The previous prime is 13131231233999. The next prime is 13131231234031. The reversal of 13131231234000 is 43213213131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17384190 + ... + 18123810.

It is an arithmetic number, because the mean of its divisors is an integer number (144860885676).

Almost surely, 2^{13131231234000} is an apocalyptic number.

13131231234000 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 13131231234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23177741708160).

13131231234000 is an abundant number, since it is smaller than the sum of its proper divisors (33224252182320).

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

13131231234000 is a wasteful number, since it uses less digits than its factorization.

13131231234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739927 (or 739911 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13131231234000 its reverse (43213213131), we get a palindrome (13174444447131).

The spelling of 13131231234000 in words is "thirteen trillion, one hundred thirty-one billion, two hundred thirty-one million, two hundred thirty-four thousand".