10513131353 has 8 divisors (see below), whose sum is σ = 10745602560. Its totient is φ = 10282469680.

The previous prime is 10513131311. The next prime is 10513131367. The reversal of 10513131353 is 35313131501.

10513131353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10513131353 - 2³⁰ = 9439389529 is a prime.

It is a super-2 number, since 2×10513131353² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10513161353) 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 7 ways as a sum of consecutive naturals, for example, 440633 + ... + 463878.

It is an arithmetic number, because the mean of its divisors is an integer number (1343200320).

Almost surely, 2^10513131353 is an apocalyptic number.

It is an amenable number.

10513131353 is a deficient number, since it is larger than the sum of its proper divisors (232471207).

10513131353 is an equidigital number, since it uses as much as digits as its factorization.

10513131353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904767.

The product of its (nonzero) digits is 2025, while the sum is 26.

Adding to 10513131353 its reverse (35313131501), we get a palindrome (45826262854).

The spelling of 10513131353 in words is "ten billion, five hundred thirteen million, one hundred thirty-one thousand, three hundred fifty-three".