13313021103000 has 192 divisors, whose sum is σ = 45001247073120. Its totient is φ = 3549883680000.

The previous prime is 13313021102951. The next prime is 13313021103001. The reversal of 13313021103000 is 30112031331.

It is a happy number.

13313021103000 is a `hidden beast` number, since 1 + 331 + 3 + 0 + 21 + 10 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313021103001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148014042 + ... + 148103958.

Almost surely, 2^{13313021103000} is an apocalyptic number.

13313021103000 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 13313021103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22500623536560).

13313021103000 is an abundant number, since it is smaller than the sum of its proper divisors (31688225970120).

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

13313021103000 is a wasteful number, since it uses less digits than its factorization.

13313021103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106395 (or 106378 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13313021103000 its reverse (30112031331), we get a palindrome (13343133134331).

The spelling of 13313021103000 in words is "thirteen trillion, three hundred thirteen billion, twenty-one million, one hundred three thousand".