13028199371712 has 1176 divisors, whose sum is σ = 46988465193824. Its totient is φ = 3508328153088.

The previous prime is 13028199371699. The next prime is 13028199371743. The reversal of 13028199371712 is 21717399182031.

13028199371712 is a `hidden beast` number, since 1 + 302 + 81 + 9 + 93 + 7 + 171 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 12612002748 + ... + 12612003780.

Almost surely, 2^{13028199371712} is an apocalyptic number.

13028199371712 is a gapful number since it is divisible by the number (12) 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 13028199371712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23494232596912).

13028199371712 is an abundant number, since it is smaller than the sum of its proper divisors (33960265822112).

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

13028199371712 is an equidigital number, since it uses as much as digits as its factorization.

13028199371712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 13028199371712 in words is "thirteen trillion, twenty-eight billion, one hundred ninety-nine million, three hundred seventy-one thousand, seven hundred twelve".