13201061346420 has 96 divisors (see below), whose sum is σ = 37324517997312. Its totient is φ = 3485854967808.

The previous prime is 13201061346413. The next prime is 13201061346427. The reversal of 13201061346420 is 2464316010231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13201061346413) and next prime (13201061346427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201061346427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95554114 + ... + 95692166.

It is an arithmetic number, because the mean of its divisors is an integer number (388797062472).

Almost surely, 2^{13201061346420} is an apocalyptic number.

13201061346420 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 13201061346420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662258998656).

13201061346420 is an abundant number, since it is smaller than the sum of its proper divisors (24123456650892).

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

13201061346420 is a wasteful number, since it uses less digits than its factorization.

13201061346420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153641 (or 153639 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 13201061346420 its reverse (2464316010231), we get a palindrome (15665377356651).

The spelling of 13201061346420 in words is "thirteen trillion, two hundred one billion, sixty-one million, three hundred forty-six thousand, four hundred twenty".