10513125342213 has 16 divisors (see below), whose sum is σ = 15097789101696. Its totient is φ = 6468750146880.

The previous prime is 10513125342131. The next prime is 10513125342253. The reversal of 10513125342213 is 31224352131501.

It is a happy number.

It is not a de Polignac number, because 10513125342213 - 2¹² = 10513125338117 is a prime.

It is a super-2 number, since 2×10513125342213² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513125342253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17734833 + ... + 18318038.

It is an arithmetic number, because the mean of its divisors is an integer number (943611818856).

Almost surely, 2^{10513125342213} is an apocalyptic number.

10513125342213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10513125342213 is a deficient number, since it is larger than the sum of its proper divisors (4584663759483).

10513125342213 is a wasteful number, since it uses less digits than its factorization.

10513125342213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36060364.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 10513125342213 its reverse (31224352131501), we get a palindrome (41737477473714).

The spelling of 10513125342213 in words is "ten trillion, five hundred thirteen billion, one hundred twenty-five million, three hundred forty-two thousand, two hundred thirteen".