13305114452 has 72 divisors (see below), whose sum is σ = 27466122600. Its totient is φ = 5622414336.

The previous prime is 13305114443. The next prime is 13305114461. The reversal of 13305114452 is 25441150331.

It is an interprime number because it is at equal distance from previous prime (13305114443) and next prime (13305114461).

It can be written as a sum of positive squares in 4 ways, for example, as 2496601156 + 10808513296 = 49966^2 + 103964^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7971074 + ... + 7972742.

It is an arithmetic number, because the mean of its divisors is an integer number (381473925).

Almost surely, 2^13305114452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13305114452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13733061300).

13305114452 is an abundant number, since it is smaller than the sum of its proper divisors (14161008148).

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

13305114452 is a wasteful number, since it uses less digits than its factorization.

13305114452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 13305114452 its reverse (25441150331), we get a palindrome (38746264783).

The spelling of 13305114452 in words is "thirteen billion, three hundred five million, one hundred fourteen thousand, four hundred fifty-two".