13121311330000 has 50 divisors (see below), whose sum is σ = 31768006885274. Its totient is φ = 5248524528000.

The previous prime is 13121311329977. The next prime is 13121311330033. The reversal of 13121311330000 is 3311312131.

It can be written as a sum of positive squares in 5 ways, for example, as 8316394721856 + 4804916608144 = 2883816^2 + 2192012^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×13121311330000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13121311330000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 656055567 + ... + 656075566.

Almost surely, 2^{13121311330000} is an apocalyptic number.

13121311330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121311330000 is an abundant number, since it is smaller than the sum of its proper divisors (18646695555274).

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

13121311330000 is an equidigital number, since it uses as much as digits as its factorization.

13121311330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312131161 (or 1312131140 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13121311330000 its reverse (3311312131), we get a palindrome (13124622642131).

The spelling of 13121311330000 in words is "thirteen trillion, one hundred twenty-one billion, three hundred eleven million, three hundred thirty thousand".