13301220003936 has 192 divisors, whose sum is σ = 36302186575872. Its totient is φ = 4261017600000.

The previous prime is 13301220003919. The next prime is 13301220003937. The reversal of 13301220003936 is 63930002210331.

It is a junction number, because it is equal to n+sod(n) for n = 13301220003897 and 13301220003906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301220003937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335606841 + ... + 335646471.

It is an arithmetic number, because the mean of its divisors is an integer number (189073888416).

Almost surely, 2^{13301220003936} is an apocalyptic number.

13301220003936 is a gapful number since it is divisible by the number (16) 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 13301220003936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18151093287936).

13301220003936 is an abundant number, since it is smaller than the sum of its proper divisors (23000966571936).

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

13301220003936 is a wasteful number, since it uses less digits than its factorization.

13301220003936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40957 (or 40949 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The spelling of 13301220003936 in words is "thirteen trillion, three hundred one billion, two hundred twenty million, three thousand, nine hundred thirty-six".