13313121015040 has 576 divisors, whose sum is σ = 41523472392192. Its totient is φ = 3965585817600.

The previous prime is 13313121015001. The next prime is 13313121015049. The reversal of 13313121015040 is 4051012131331.

It is a super-2 number, since 2×13313121015040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13313121014996 and 13313121015014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313121015049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3674610669 + ... + 3674614291.

It is an arithmetic number, because the mean of its divisors is an integer number (72089361792).

Almost surely, 2^{13313121015040} is an apocalyptic number.

13313121015040 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 13313121015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20761736196096).

13313121015040 is an abundant number, since it is smaller than the sum of its proper divisors (28210351377152).

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

13313121015040 is a wasteful number, since it uses less digits than its factorization.

13313121015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 13313121015040 its reverse (4051012131331), we get a palindrome (17364133146371).

The spelling of 13313121015040 in words is "thirteen trillion, three hundred thirteen billion, one hundred twenty-one million, fifteen thousand, forty".