13312821312000 has 2560 divisors, whose sum is σ = 60194653009920. Its totient is φ = 2831155200000.

The previous prime is 13312821311981. The next prime is 13312821312053. The reversal of 13312821312000 is 21312821331.

13312821312000 is a `hidden beast` number, since 1 + 331 + 282 + 1 + 31 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×13312821312000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 20768831680 + ... + 20768832320.

It is an arithmetic number, because the mean of its divisors is an integer number (23513536332).

Almost surely, 2^{13312821312000} is an apocalyptic number.

13312821312000 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 13312821312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30097326504960).

13312821312000 is an abundant number, since it is smaller than the sum of its proper divisors (46881831697920).

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

13312821312000 is a wasteful number, since it uses less digits than its factorization.

13312821312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 13312821312000 in words is "thirteen trillion, three hundred twelve billion, eight hundred twenty-one million, three hundred twelve thousand".