13021311312300 has 432 divisors, whose sum is σ = 40290245759232. Its totient is φ = 3239659737600.

The previous prime is 13021311312281. The next prime is 13021311312343. The reversal of 13021311312300 is 321311312031.

It is a happy number.

13021311312300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18844154955 + ... + 18844155645.

It is an arithmetic number, because the mean of its divisors is an integer number (93264457776).

Almost surely, 2^{13021311312300} is an apocalyptic number.

13021311312300 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 13021311312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20145122879616).

13021311312300 is an abundant number, since it is smaller than the sum of its proper divisors (27268934446932).

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

13021311312300 is a wasteful number, since it uses less digits than its factorization.

13021311312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13021311312300 its reverse (321311312031), we get a palindrome (13342622624331).

The spelling of 13021311312300 in words is "thirteen trillion, twenty-one billion, three hundred eleven million, three hundred twelve thousand, three hundred".