13101520 has 40 divisors (see below), whose sum is σ = 30611880. Its totient is φ = 5214720.

The previous prime is 13101479. The next prime is 13101521. The reversal of 13101520 is 2510131.

It can be written as a sum of positive squares in 4 ways, for example, as 399424 + 12702096 = 632^2 + 3564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 13101520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30910 + ... + 31330.

It is an arithmetic number, because the mean of its divisors is an integer number (765297).

Almost surely, 2^13101520 is an apocalyptic number.

13101520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101520 is an abundant number, since it is smaller than the sum of its proper divisors (17510360).

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

13101520 is a wasteful number, since it uses less digits than its factorization.

13101520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 13101520 is about 3619.6021880864. The cubic root of 13101520 is about 235.7439528884.

Adding to 13101520 its reverse (2510131), we get a palindrome (15611651).

The spelling of 13101520 in words is "thirteen million, one hundred one thousand, five hundred twenty".