13042211012304 has 160 divisors (see below), whose sum is σ = 34153488620160. Its totient is φ = 4288223379456.

The previous prime is 13042211012287. The next prime is 13042211012321. The reversal of 13042211012304 is 40321011224031.

It is an interprime number because it is at equal distance from previous prime (13042211012287) and next prime (13042211012321).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3772694544 + ... + 3772698000.

It is an arithmetic number, because the mean of its divisors is an integer number (213459303876).

Almost surely, 2^{13042211012304} 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 13042211012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17076744310080).

13042211012304 is an abundant number, since it is smaller than the sum of its proper divisors (21111277607856).

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

13042211012304 is a wasteful number, since it uses less digits than its factorization.

13042211012304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037 (or 6031 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13042211012304 its reverse (40321011224031), we get a palindrome (53363222236335).

The spelling of 13042211012304 in words is "thirteen trillion, forty-two billion, two hundred eleven million, twelve thousand, three hundred four".