13310002101300 has 288 divisors, whose sum is σ = 40344297799680. Its totient is φ = 3383462745600.

The previous prime is 13310002101197. The next prime is 13310002101311. The reversal of 13310002101300 is 310120001331.

It is a super-2 number, since 2×13310002101300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13310002101300.

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, 1316383245 + ... + 1316393355.

It is an arithmetic number, because the mean of its divisors is an integer number (140084367360).

Almost surely, 2^{13310002101300} is an apocalyptic number.

13310002101300 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 13310002101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20172148899840).

13310002101300 is an abundant number, since it is smaller than the sum of its proper divisors (27034295698380).

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

13310002101300 is a wasteful number, since it uses less digits than its factorization.

13310002101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12063 (or 12056 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13310002101300 its reverse (310120001331), we get a palindrome (13620122102631).

The spelling of 13310002101300 in words is "thirteen trillion, three hundred ten billion, two million, one hundred one thousand, three hundred".