13120328229768 has 128 divisors (see below), whose sum is σ = 36867106800000. Its totient is φ = 4322865355776.

The previous prime is 13120328229761. The next prime is 13120328229791. The reversal of 13120328229768 is 86792282302131.

13120328229768 is a `hidden beast` number, since 1 + 3 + 1 + 20 + 328 + 2 + 297 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13120328229761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58502055 + ... + 58725897.

It is an arithmetic number, because the mean of its divisors is an integer number (288024271875).

Almost surely, 2^{13120328229768} is an apocalyptic number.

13120328229768 is a gapful number since it is divisible by the number (18) 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 13120328229768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18433553400000).

13120328229768 is an abundant number, since it is smaller than the sum of its proper divisors (23746778570232).

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

13120328229768 is a wasteful number, since it uses less digits than its factorization.

13120328229768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226996 (or 226986 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13120328229768 in words is "thirteen trillion, one hundred twenty billion, three hundred twenty-eight million, two hundred twenty-nine thousand, seven hundred sixty-eight".