13203855332352 has 704 divisors, whose sum is σ = 42314300121600. Its totient is φ = 4054780477440.

The previous prime is 13203855332303. The next prime is 13203855332411. The reversal of 13203855332352 is 25323355830231.

13203855332352 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 3 + 85 + 533 + 2 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13203855332298 and 13203855332307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11820818898 + ... + 11820820014.

Almost surely, 2^{13203855332352} is an apocalyptic number.

13203855332352 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 13203855332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21157150060800).

13203855332352 is an abundant number, since it is smaller than the sum of its proper divisors (29110444789248).

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

13203855332352 is a wasteful number, since it uses less digits than its factorization.

13203855332352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 13203855332352 in words is "thirteen trillion, two hundred three billion, eight hundred fifty-five million, three hundred thirty-two thousand, three hundred fifty-two".