13001024101120 has 576 divisors, whose sum is σ = 36515672653824. Its totient is φ = 4386839592960.

The previous prime is 13001024101111. The next prime is 13001024101127. The reversal of 13001024101120 is 2110142010031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13001024101094 and 13001024101103.

It is not an unprimeable number, because it can be changed into a prime (13001024101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4589135224 + ... + 4589138056.

It is an arithmetic number, because the mean of its divisors is an integer number (63395265024).

Almost surely, 2^{13001024101120} is an apocalyptic number.

13001024101120 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 13001024101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18257836326912).

13001024101120 is an abundant number, since it is smaller than the sum of its proper divisors (23514648552704).

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

13001024101120 is a wasteful number, since it uses less digits than its factorization.

13001024101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 13001024101120 its reverse (2110142010031), we get a palindrome (15111166111151).

The spelling of 13001024101120 in words is "thirteen trillion, one billion, twenty-four million, one hundred one thousand, one hundred twenty".