13513415130 has 24 divisors (see below), whose sum is σ = 35134879572. Its totient is φ = 3603577344.

The previous prime is 13513415117. The next prime is 13513415143. The reversal of 13513415130 is 3151431531.

It is a happy number.

13513415130 is a `hidden beast` number, since 1 + 3 + 513 + 4 + 15 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (13513415117) and next prime (13513415143).

It can be written as a sum of positive squares in 2 ways, for example, as 13304930409 + 208484721 = 115347^2 + 14439^2 .

It is a super-2 number, since 2×13513415130² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13513415094 and 13513415103.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 75074439 + ... + 75074618.

Almost surely, 2^13513415130 is an apocalyptic number.

13513415130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13513415130 is an abundant number, since it is smaller than the sum of its proper divisors (21621464442).

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

13513415130 is a wasteful number, since it uses less digits than its factorization.

13513415130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150149070 (or 150149067 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 13513415130 its reverse (3151431531), we get a palindrome (16664846661).

The spelling of 13513415130 in words is "thirteen billion, five hundred thirteen million, four hundred fifteen thousand, one hundred thirty".