13313211450000 has 960 divisors, whose sum is σ = 53797800720384. Its totient is φ = 2755929600000.

The previous prime is 13313211449999. The next prime is 13313211450017. The reversal of 13313211450000 is 5411231331.

It is a super-2 number, since 2×13313211450000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3268647964 + ... + 3268652036.

Almost surely, 2^{13313211450000} is an apocalyptic number.

13313211450000 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 13313211450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26898900360192).

13313211450000 is an abundant number, since it is smaller than the sum of its proper divisors (40484589270384).

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

13313211450000 is a wasteful number, since it uses less digits than its factorization.

13313211450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 13313211450000 its reverse (5411231331), we get a palindrome (13318622681331).

The spelling of 13313211450000 in words is "thirteen trillion, three hundred thirteen billion, two hundred eleven million, four hundred fifty thousand".