13003355532000 has 384 divisors, whose sum is σ = 44495211091968. Its totient is φ = 3313508352000.

The previous prime is 13003355531951. The next prime is 13003355532017. The reversal of 13003355532000 is 23555330031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284533152 + ... + 284578848.

It is an arithmetic number, because the mean of its divisors is an integer number (115872945552).

Almost surely, 2^{13003355532000} is an apocalyptic number.

13003355532000 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 13003355532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22247605545984).

13003355532000 is an abundant number, since it is smaller than the sum of its proper divisors (31491855559968).

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

13003355532000 is a wasteful number, since it uses less digits than its factorization.

13003355532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46779 (or 46761 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 30.

The spelling of 13003355532000 in words is "thirteen trillion, three billion, three hundred fifty-five million, five hundred thirty-two thousand".