13101230001024 has 384 divisors, whose sum is σ = 41511760243200. Its totient is φ = 3933138124800.

The previous prime is 13101230001023. The next prime is 13101230001029. The reversal of 13101230001024 is 42010003210131.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13101230000988 and 13101230001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101230001023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614695392 + ... + 614716704.

It is an arithmetic number, because the mean of its divisors is an integer number (108103542300).

Almost surely, 2^{13101230001024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101230001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20755880121600).

13101230001024 is an abundant number, since it is smaller than the sum of its proper divisors (28410530242176).

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

13101230001024 is a wasteful number, since it uses less digits than its factorization.

13101230001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21794 (or 21779 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13101230001024 its reverse (42010003210131), we get a palindrome (55111233211155).

The spelling of 13101230001024 in words is "thirteen trillion, one hundred one billion, two hundred thirty million, one thousand, twenty-four".