13010235513 has 16 divisors (see below), whose sum is σ = 19111349952. Its totient is φ = 7806920000.

The previous prime is 13010235493. The next prime is 13010235517. The reversal of 13010235513 is 31553201031.

13010235513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13010235513 - 2¹² = 13010231417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13010235517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1948398 + ... + 1955063.

It is an arithmetic number, because the mean of its divisors is an integer number (1194459372).

Almost surely, 2^13010235513 is an apocalyptic number.

It is an amenable number.

13010235513 is a deficient number, since it is larger than the sum of its proper divisors (6101114439).

13010235513 is a wasteful number, since it uses less digits than its factorization.

13010235513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903576.

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 13010235513 its reverse (31553201031), we get a palindrome (44563436544).

It can be divided in two parts, 1301023 and 5513, that added together give a triangular number (1306536 = T₁₆₁₆).

The spelling of 13010235513 in words is "thirteen billion, ten million, two hundred thirty-five thousand, five hundred thirteen".