13333378319520 has 768 divisors, whose sum is σ = 49760706723840. Its totient is φ = 2938088964096.

The previous prime is 13333378319501. The next prime is 13333378319549. The reversal of 13333378319520 is 2591387333331.

It is a super-2 number, since 2×13333378319520² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5715120274 + ... + 5715122606.

It is an arithmetic number, because the mean of its divisors is an integer number (64792586880).

Almost surely, 2^{13333378319520} is an apocalyptic number.

13333378319520 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 13333378319520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24880353361920).

13333378319520 is an abundant number, since it is smaller than the sum of its proper divisors (36427328404320).

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

13333378319520 is a wasteful number, since it uses less digits than its factorization.

13333378319520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 51.

The spelling of 13333378319520 in words is "thirteen trillion, three hundred thirty-three billion, three hundred seventy-eight million, three hundred nineteen thousand, five hundred twenty".