10135535361413 has 18 divisors (see below), whose sum is σ = 12959604253638. Its totient is φ = 7897819757520.

The previous prime is 10135535361403. The next prime is 10135535361433. The reversal of 10135535361413 is 31416353553101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8459942325604 + 1675593035809 = 2908598^2 + 1294447^2 .

It is not a de Polignac number, because 10135535361413 - 2⁴ = 10135535361397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135535361403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 854736470 + ... + 854748327.

It is an arithmetic number, because the mean of its divisors is an integer number (719978014091).

Almost surely, 2^{10135535361413} is an apocalyptic number.

It is an amenable number.

10135535361413 is a deficient number, since it is larger than the sum of its proper divisors (2824068892225).

10135535361413 is a wasteful number, since it uses less digits than its factorization.

10135535361413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709484833 (or 1709484815 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 41.

The spelling of 10135535361413 in words is "ten trillion, one hundred thirty-five billion, five hundred thirty-five million, three hundred sixty-one thousand, four hundred thirteen".