13123301513520 has 640 divisors, whose sum is σ = 48313029768192. Its totient is φ = 2910575001600.

The previous prime is 13123301513489. The next prime is 13123301513527. The reversal of 13123301513520 is 2531510332131.

It is a super-2 number, since 2×13123301513520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13123301513527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 509689287 + ... + 509715033.

Almost surely, 2^{13123301513520} is an apocalyptic number.

13123301513520 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 13123301513520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24156514884096).

13123301513520 is an abundant number, since it is smaller than the sum of its proper divisors (35189728254672).

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

13123301513520 is a wasteful number, since it uses less digits than its factorization.

13123301513520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26109 (or 26103 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 13123301513520 its reverse (2531510332131), we get a palindrome (15654811845651).

The spelling of 13123301513520 in words is "thirteen trillion, one hundred twenty-three billion, three hundred one million, five hundred thirteen thousand, five hundred twenty".