13121133010000 has 50 divisors (see below), whose sum is σ = 31767575154722. Its totient is φ = 5248453200000.

The previous prime is 13121133009937. The next prime is 13121133010001. The reversal of 13121133010000 is 1033112131.

It can be written as a sum of positive squares in 5 ways, for example, as 6481688279056 + 6639444730944 = 2545916^2 + 2576712^2 .

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

It is a super-2 number, since 2×13121133010000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121133010001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 656046651 + ... + 656066650.

Almost surely, 2^{13121133010000} is an apocalyptic number.

13121133010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121133010000 is an abundant number, since it is smaller than the sum of its proper divisors (18646442144722).

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

13121133010000 is an equidigital number, since it uses as much as digits as its factorization.

13121133010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312113329 (or 1312113308 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13121133010000 its reverse (1033112131), we get a palindrome (13122166122131).

The spelling of 13121133010000 in words is "thirteen trillion, one hundred twenty-one billion, one hundred thirty-three million, ten thousand".