13130019 has 56 divisors (see below), whose sum is σ = 23503872. Its totient is φ = 7173360.

The previous prime is 13130009. The next prime is 13130027. The reversal of 13130019 is 91003131.

It is not a de Polignac number, because 13130019 - 2⁴ = 13130003 is a prime.

It is a super-2 number, since 2×13130019² = 344794797880722, which contains 22 as substring.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 13129983 and 13130010.

It is not an unprimeable number, because it can be changed into a prime (13130009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 158152 + ... + 158234.

It is an arithmetic number, because the mean of its divisors is an integer number (419712).

Almost surely, 2^13130019 is an apocalyptic number.

13130019 is a deficient number, since it is larger than the sum of its proper divisors (10373853).

13130019 is an frugal number, since it uses more digits than its factorization.

13130019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 13130019 is about 3623.5368081475. The cubic root of 13130019 is about 235.9147626203.

It can be divided in two parts, 1313001 and 9, that added together give a triangular number (1313010 = T₁₆₂₀).

The spelling of 13130019 in words is "thirteen million, one hundred thirty thousand, nineteen".