10035513250213 has 8 divisors (see below), whose sum is σ = 10951263521856. Its totient is φ = 9120334792800.

The previous prime is 10035513250181. The next prime is 10035513250237. The reversal of 10035513250213 is 31205231553001.

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

It is not a de Polignac number, because 10035513250213 - 2⁵ = 10035513250181 is a prime.

It is a super-3 number, since 3×10035513250213³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10035513200213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142916856 + ... + 142987057.

It is an arithmetic number, because the mean of its divisors is an integer number (1368907940232).

Almost surely, 2^{10035513250213} is an apocalyptic number.

It is an amenable number.

10035513250213 is a deficient number, since it is larger than the sum of its proper divisors (915750271643).

10035513250213 is a wasteful number, since it uses less digits than its factorization.

10035513250213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285907115.

The product of its (nonzero) digits is 13500, while the sum is 31.

The spelling of 10035513250213 in words is "ten trillion, thirty-five billion, five hundred thirteen million, two hundred fifty thousand, two hundred thirteen".