13332312312000 has 896 divisors, whose sum is σ = 51308883025920. Its totient is φ = 3016189440000.

The previous prime is 13332312311999. The next prime is 13332312312001. The reversal of 13332312312000 is 21321323331.

It is an interprime number because it is at equal distance from previous prime (13332312311999) and next prime (13332312312001).

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

It is not an unprimeable number, because it can be changed into a prime (13332312312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336052165 + ... + 336091835.

Almost surely, 2^{13332312312000} is an apocalyptic number.

13332312312000 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 13332312312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25654441512960).

13332312312000 is an abundant number, since it is smaller than the sum of its proper divisors (37976570713920).

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

13332312312000 is a wasteful number, since it uses less digits than its factorization.

13332312312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39798 (or 39778 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13332312312000 its reverse (21321323331), we get a palindrome (13353633635331).

The spelling of 13332312312000 in words is "thirteen trillion, three hundred thirty-two billion, three hundred twelve million, three hundred twelve thousand".