13430010411020 has 96 divisors (see below), whose sum is σ = 32370473318400. Its totient is φ = 4584800957184.

The previous prime is 13430010411011. The next prime is 13430010411049. The reversal of 13430010411020 is 2011401003431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13430010410983 and 13430010411001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421211999 + ... + 421243881.

It is an arithmetic number, because the mean of its divisors is an integer number (337192430400).

Almost surely, 2^{13430010411020} is an apocalyptic number.

13430010411020 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 13430010411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16185236659200).

13430010411020 is an abundant number, since it is smaller than the sum of its proper divisors (18940462907380).

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

13430010411020 is a wasteful number, since it uses less digits than its factorization.

13430010411020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44727 (or 44725 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13430010411020 its reverse (2011401003431), we get a palindrome (15441411414451).

The spelling of 13430010411020 in words is "thirteen trillion, four hundred thirty billion, ten million, four hundred eleven thousand, twenty".