10206435631013 has 8 divisors (see below), whose sum is σ = 10482677726232. Its totient is φ = 9930214192896.

The previous prime is 10206435630947. The next prime is 10206435631019. The reversal of 10206435631013 is 31013653460201.

It can be written as a sum of positive squares in 4 ways, for example, as 54418625284 + 10152017005729 = 233278^2 + 3186223^2 .

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 10206435631013 - 2¹² = 10206435626917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206435631019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4160120 + ... + 6141617.

It is an arithmetic number, because the mean of its divisors is an integer number (1310334715779).

Almost surely, 2^{10206435631013} is an apocalyptic number.

It is an amenable number.

10206435631013 is a deficient number, since it is larger than the sum of its proper divisors (276242095219).

10206435631013 is a wasteful number, since it uses less digits than its factorization.

10206435631013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10328551.

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 10206435631013 in words is "ten trillion, two hundred six billion, four hundred thirty-five million, six hundred thirty-one thousand, thirteen".