13130261006511 has 16 divisors (see below), whose sum is σ = 19098663742080. Its totient is φ = 7957691327520.

The previous prime is 13130261006453. The next prime is 13130261006519. The reversal of 13130261006511 is 11560016203131.

It is not a de Polignac number, because 13130261006511 - 2¹¹ = 13130261004463 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130261006519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5862505 + ... + 7786493.

It is an arithmetic number, because the mean of its divisors is an integer number (1193666483880).

Almost surely, 2^{13130261006511} is an apocalyptic number.

13130261006511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13130261006511 is a deficient number, since it is larger than the sum of its proper divisors (5968402735569).

13130261006511 is a wasteful number, since it uses less digits than its factorization.

13130261006511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130806.

The product of its (nonzero) digits is 3240, while the sum is 30.

Adding to 13130261006511 its reverse (11560016203131), we get a palindrome (24690277209642).

The spelling of 13130261006511 in words is "thirteen trillion, one hundred thirty billion, two hundred sixty-one million, six thousand, five hundred eleven".