13310103004000 has 192 divisors, whose sum is σ = 35694450792000. Its totient is φ = 4837522944000.

The previous prime is 13310103003991. The next prime is 13310103004019. The reversal of 13310103004000 is 40030101331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85678396 + ... + 85833604.

It is an arithmetic number, because the mean of its divisors is an integer number (185908597875).

Almost surely, 2^{13310103004000} is an apocalyptic number.

13310103004000 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 13310103004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17847225396000).

13310103004000 is an abundant number, since it is smaller than the sum of its proper divisors (22384347788000).

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

13310103004000 is a wasteful number, since it uses less digits than its factorization.

13310103004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157194 (or 157176 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13310103004000 its reverse (40030101331), we get a palindrome (13350133105331).

The spelling of 13310103004000 in words is "thirteen trillion, three hundred ten billion, one hundred three million, four thousand".