13114413101322 has 192 divisors, whose sum is σ = 31557082152960. Its totient is φ = 3911346133632.

The previous prime is 13114413101297. The next prime is 13114413101341. The reversal of 13114413101322 is 22310131441131.

13114413101322 is a `hidden beast` number, since 1 + 3 + 114 + 413 + 1 + 0 + 132 + 2 = 666.

It is a super-3 number, since 3×13114413101322³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 285775063 + ... + 285820949.

It is an arithmetic number, because the mean of its divisors is an integer number (164359802880).

Almost surely, 2^{13114413101322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114413101322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15778541076480).

13114413101322 is an abundant number, since it is smaller than the sum of its proper divisors (18442669051638).

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

13114413101322 is a wasteful number, since it uses less digits than its factorization.

13114413101322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46257 (or 46254 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13114413101322 its reverse (22310131441131), we get a palindrome (35424544542453).

The spelling of 13114413101322 in words is "thirteen trillion, one hundred fourteen billion, four hundred thirteen million, one hundred one thousand, three hundred twenty-two".