13430848673100 has 144 divisors (see below), whose sum is σ = 39544091516160. Its totient is φ = 3518642668800.

The previous prime is 13430848673087. The next prime is 13430848673129. The reversal of 13430848673100 is 137684803431.

It is a super-2 number, since 2×13430848673100² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13430848673100.

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, 14916319 + ... + 15791081.

It is an arithmetic number, because the mean of its divisors is an integer number (274611746640).

Almost surely, 2^{13430848673100} is an apocalyptic number.

13430848673100 is a gapful number since it is divisible by the number (10) 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 13430848673100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19772045758080).

13430848673100 is an abundant number, since it is smaller than the sum of its proper divisors (26113242843060).

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

13430848673100 is a wasteful number, since it uses less digits than its factorization.

13430848673100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875680 (or 875673 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 13430848673100 in words is "thirteen trillion, four hundred thirty billion, eight hundred forty-eight million, six hundred seventy-three thousand, one hundred".