10135034013205 has 16 divisors (see below), whose sum is σ = 12922013680560. Its totient is φ = 7631084414976.

The previous prime is 10135034013199. The next prime is 10135034013211. The reversal of 10135034013205 is 50231043053101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10135034013199) and next prime (10135034013211).

It can be written as a sum of positive squares in 8 ways, for example, as 302331723409 + 9832702289796 = 549847^2 + 3135714^2 .

It is not a de Polignac number, because 10135034013205 - 2⁹ = 10135034012693 is a prime.

It is a super-2 number, since 2×10135034013205² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 206265564 + ... + 206314693.

It is an arithmetic number, because the mean of its divisors is an integer number (807625855035).

Almost surely, 2^{10135034013205} is an apocalyptic number.

It is an amenable number.

10135034013205 is a deficient number, since it is larger than the sum of its proper divisors (2786979667355).

10135034013205 is an frugal number, since it uses more digits than its factorization.

10135034013205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412580313 (or 412580279 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 10135034013205 its reverse (50231043053101), we get a palindrome (60366077066306).

The spelling of 10135034013205 in words is "ten trillion, one hundred thirty-five billion, thirty-four million, thirteen thousand, two hundred five".