13121021211320 has 128 divisors (see below), whose sum is σ = 32261563353600. Its totient is φ = 4763077286400.

The previous prime is 13121021211317. The next prime is 13121021211341. The reversal of 13121021211320 is 2311212012131.

It is a super-2 number, since 2×13121021211320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13121021211292 and 13121021211301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647334146 + ... + 647354414.

It is an arithmetic number, because the mean of its divisors is an integer number (252043463700).

Almost surely, 2^{13121021211320} is an apocalyptic number.

13121021211320 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 13121021211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130781676800).

13121021211320 is an abundant number, since it is smaller than the sum of its proper divisors (19140542142280).

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

13121021211320 is a wasteful number, since it uses less digits than its factorization.

13121021211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22749 (or 22745 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 13121021211320 its reverse (2311212012131), we get a palindrome (15432233223451).

The spelling of 13121021211320 in words is "thirteen trillion, one hundred twenty-one billion, twenty-one million, two hundred eleven thousand, three hundred twenty".