13311133002312 has 256 divisors, whose sum is σ = 35487922176000. Its totient is φ = 4151617037568.

The previous prime is 13311133002311. The next prime is 13311133002337. The reversal of 13311133002312 is 21320033111331.

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 (13311133002311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6645597103 + ... + 6645599105.

It is an arithmetic number, because the mean of its divisors is an integer number (138624696000).

Almost surely, 2^{13311133002312} is an apocalyptic number.

13311133002312 is a gapful number since it is divisible by the number (12) 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 13311133002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17743961088000).

13311133002312 is an abundant number, since it is smaller than the sum of its proper divisors (22176789173688).

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

13311133002312 is a wasteful number, since it uses less digits than its factorization.

13311133002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13311133002312 its reverse (21320033111331), we get a palindrome (34631166113643).

The spelling of 13311133002312 in words is "thirteen trillion, three hundred eleven billion, one hundred thirty-three million, two thousand, three hundred twelve".