13520141300 has 72 divisors (see below), whose sum is σ = 29976128280. Its totient is φ = 5291827200.

The previous prime is 13520141281. The next prime is 13520141317. The reversal of 13520141300 is 314102531.

It can be written as a sum of positive squares in 12 ways, for example, as 1872119824 + 11648021476 = 43268^2 + 107926^2 .

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

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, 855470 + ... + 871130.

It is an arithmetic number, because the mean of its divisors is an integer number (416335115).

Almost surely, 2^13520141300 is an apocalyptic number.

13520141300 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 13520141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988064140).

13520141300 is an abundant number, since it is smaller than the sum of its proper divisors (16455986980).

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

13520141300 is a wasteful number, since it uses less digits than its factorization.

13520141300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15861 (or 15854 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13520141300 its reverse (314102531), we get a palindrome (13834243831).

The spelling of 13520141300 in words is "thirteen billion, five hundred twenty million, one hundred forty-one thousand, three hundred".