13331102103000 has 384 divisors, whose sum is σ = 49165302888000. Its totient is φ = 3231131904000.

The previous prime is 13331102102933. The next prime is 13331102103013. The reversal of 13331102103000 is 30120113331.

It is a happy number.

13331102103000 is a `hidden beast` number, since 1 + 3 + 331 + 10 + 21 + 0 + 300 + 0 = 666.

It is a super-2 number, since 2×13331102103000² (a number of 27 digits) contains 22 as substring.

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

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, 648736726 + ... + 648757274.

Almost surely, 2^{13331102103000} is an apocalyptic number.

13331102103000 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 13331102103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24582651444000).

13331102103000 is an abundant number, since it is smaller than the sum of its proper divisors (35834200785000).

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

13331102103000 is a wasteful number, since it uses less digits than its factorization.

13331102103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27140 (or 27123 counting only the distinct ones).

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

Adding to 13331102103000 its reverse (30120113331), we get a palindrome (13361222216331).

The spelling of 13331102103000 in words is "thirteen trillion, three hundred thirty-one billion, one hundred two million, one hundred three thousand".