13029833282004 has 240 divisors, whose sum is σ = 43101455147520. Its totient is φ = 3333858834240.

The previous prime is 13029833281991. The next prime is 13029833282009. The reversal of 13029833282004 is 40028233892031.

13029833282004 is a `hidden beast` number, since 1 + 3 + 0 + 298 + 332 + 8 + 20 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13029833282009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2226094 + ... + 5569125.

It is an arithmetic number, because the mean of its divisors is an integer number (179589396448).

Almost surely, 2^{13029833282004} is an apocalyptic number.

13029833282004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13029833282004 is an abundant number, since it is smaller than the sum of its proper divisors (30071621865516).

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

13029833282004 is a wasteful number, since it uses less digits than its factorization.

13029833282004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7795320 (or 7795309 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 13029833282004 in words is "thirteen trillion, twenty-nine billion, eight hundred thirty-three million, two hundred eighty-two thousand, four".