13031302320000 has 960 divisors, whose sum is σ = 48436493922960. Its totient is φ = 3359232000000.

The previous prime is 13031302319993. The next prime is 13031302320007. The reversal of 13031302320000 is 2320313031.

13031302320000 is a `hidden beast` number, since 1 + 30 + 313 + 0 + 2 + 320 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13031302319993) and next prime (13031302320007).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031302320007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4342318500 + ... + 4342321500.

Almost surely, 2^{13031302320000} is an apocalyptic number.

13031302320000 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 13031302320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24218246961480).

13031302320000 is an abundant number, since it is smaller than the sum of its proper divisors (35405191602960).

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

13031302320000 is a wasteful number, since it uses less digits than its factorization.

13031302320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13031302320000 its reverse (2320313031), we get a palindrome (13033622633031).

The spelling of 13031302320000 in words is "thirteen trillion, thirty-one billion, three hundred two million, three hundred twenty thousand".