13121333311320 has 384 divisors, whose sum is σ = 48685018636800. Its totient is φ = 3036192325632.

The previous prime is 13121333311189. The next prime is 13121333311351. The reversal of 13121333311320 is 2311333312131.

13121333311320 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 3 + 3 + 331 + 1 + 320 = 666.

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, 65855769 + ... + 66054711.

It is an arithmetic number, because the mean of its divisors is an integer number (126783902700).

Almost surely, 2^{13121333311320} is an apocalyptic number.

13121333311320 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 13121333311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24342509318400).

13121333311320 is an abundant number, since it is smaller than the sum of its proper divisors (35563685325480).

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

13121333311320 is a wasteful number, since it uses less digits than its factorization.

13121333311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199819 (or 199812 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13121333311320 its reverse (2311333312131), we get a palindrome (15432666623451).

The spelling of 13121333311320 in words is "thirteen trillion, one hundred twenty-one billion, three hundred thirty-three million, three hundred eleven thousand, three hundred twenty".