13313023122312 has 192 divisors, whose sum is σ = 38434299845760. Its totient is φ = 4314654604800.

The previous prime is 13313023122299. The next prime is 13313023122323. The reversal of 13313023122312 is 21322132031331.

13313023122312 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 30 + 2 + 312 + 2 + 312 = 666.

It is a super-3 number, since 3×13313023122312³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23068237 + ... + 23638307.

It is an arithmetic number, because the mean of its divisors is an integer number (200178645030).

Almost surely, 2^{13313023122312} is an apocalyptic number.

13313023122312 is a gapful number since it is divisible by the number (12) 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 13313023122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19217149922880).

13313023122312 is an abundant number, since it is smaller than the sum of its proper divisors (25121276723448).

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

13313023122312 is a wasteful number, since it uses less digits than its factorization.

13313023122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570426 (or 570410 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13313023122312 its reverse (21322132031331), we get a palindrome (34635155153643).

The spelling of 13313023122312 in words is "thirteen trillion, three hundred thirteen billion, twenty-three million, one hundred twenty-two thousand, three hundred twelve".