13130031321000 has 384 divisors, whose sum is σ = 50518971959040. Its totient is φ = 3044644416000.

The previous prime is 13130031320933. The next prime is 13130031321031. The reversal of 13130031321000 is 12313003131.

It is a happy number.

13130031321000 is a `hidden beast` number, since 1 + 31 + 300 + 313 + 21 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 606187 + ... + 5160186.

It is an arithmetic number, because the mean of its divisors is an integer number (131559822810).

Almost surely, 2^{13130031321000} is an apocalyptic number.

13130031321000 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 13130031321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25259485979520).

13130031321000 is an abundant number, since it is smaller than the sum of its proper divisors (37388940638040).

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

13130031321000 is a wasteful number, since it uses less digits than its factorization.

13130031321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766434 (or 5766417 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13130031321000 its reverse (12313003131), we get a palindrome (13142344324131).

The spelling of 13130031321000 in words is "thirteen trillion, one hundred thirty billion, thirty-one million, three hundred twenty-one thousand".