13320311212032 has 384 divisors, whose sum is σ = 39828591129600. Its totient is φ = 3923317555200.

The previous prime is 13320311211971. The next prime is 13320311212063. The reversal of 13320311212032 is 23021211302331.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×13320311212032⁴ (a number of 54 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13320311211993 and 13320311212011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3148263357 + ... + 3148267587.

It is an arithmetic number, because the mean of its divisors is an integer number (103720289400).

Almost surely, 2^{13320311212032} is an apocalyptic number.

13320311212032 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 13320311212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19914295564800).

13320311212032 is an abundant number, since it is smaller than the sum of its proper divisors (26508279917568).

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

13320311212032 is a wasteful number, since it uses less digits than its factorization.

13320311212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5563 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13320311212032 its reverse (23021211302331), we get a palindrome (36341522514363).

The spelling of 13320311212032 in words is "thirteen trillion, three hundred twenty billion, three hundred eleven million, two hundred twelve thousand, thirty-two".