13273361233920 has 576 divisors, whose sum is σ = 48460297485600. Its totient is φ = 3350778347520.

The previous prime is 13273361233919. The next prime is 13273361233927. The reversal of 13273361233920 is 2933216337231.

13273361233920 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 3 + 3 + 612 + 3 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×13273361233920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13273361233927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3889058134 + ... + 3889061546.

Almost surely, 2^{13273361233920} is an apocalyptic number.

13273361233920 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 13273361233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24230148742800).

13273361233920 is an abundant number, since it is smaller than the sum of its proper divisors (35186936251680).

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

13273361233920 is a wasteful number, since it uses less digits than its factorization.

13273361233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5686 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 13273361233920 in words is "thirteen trillion, two hundred seventy-three billion, three hundred sixty-one million, two hundred thirty-three thousand, nine hundred twenty".