13042133104 has 240 divisors, whose sum is σ = 34457725120. Its totient is φ = 4653158400.

The previous prime is 13042133089. The next prime is 13042133119. The reversal of 13042133104 is 40133124031.

It is an interprime number because it is at equal distance from previous prime (13042133089) and next prime (13042133119).

It is a super-3 number, since 3×13042133104³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31887652 + ... + 31888060.

Almost surely, 2^13042133104 is an apocalyptic number.

13042133104 is a gapful number since it is divisible by the number (14) 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 13042133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17228862560).

13042133104 is an abundant number, since it is smaller than the sum of its proper divisors (21415592016).

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

13042133104 is a wasteful number, since it uses less digits than its factorization.

13042133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13042133104 its reverse (40133124031), we get a palindrome (53175257135).

The spelling of 13042133104 in words is "thirteen billion, forty-two million, one hundred thirty-three thousand, one hundred four".