13355003223000 has 384 divisors, whose sum is σ = 46825867146240. Its totient is φ = 3560261040000.

The previous prime is 13355003222999. The next prime is 13355003223047. The reversal of 13355003223000 is 32230055331.

13355003223000 is a `hidden beast` number, since 1 + 3 + 35 + 5 + 0 + 0 + 322 + 300 + 0 = 666.

It is a super-2 number, since 2×13355003223000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1115607015 + ... + 1115618985.

It is an arithmetic number, because the mean of its divisors is an integer number (121942362360).

Almost surely, 2^{13355003223000} is an apocalyptic number.

13355003223000 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 13355003223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23412933573120).

13355003223000 is an abundant number, since it is smaller than the sum of its proper divisors (33470863923240).

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

13355003223000 is a wasteful number, since it uses less digits than its factorization.

13355003223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16598 (or 16572 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

Adding to 13355003223000 its reverse (32230055331), we get a palindrome (13387233278331).

The spelling of 13355003223000 in words is "thirteen trillion, three hundred fifty-five billion, three million, two hundred twenty-three thousand".