10735222364113 has 16 divisors (see below), whose sum is σ = 11579254061760. Its totient is φ = 9893798986176.

The previous prime is 10735222364059. The next prime is 10735222364129. The reversal of 10735222364113 is 31146322253701.

It is a cyclic number.

It is not a de Polignac number, because 10735222364113 - 2²⁹ = 10734685493201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10735222364213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207269806 + ... + 207321592.

It is an arithmetic number, because the mean of its divisors is an integer number (723703378860).

Almost surely, 2^{10735222364113} is an apocalyptic number.

10735222364113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10735222364113 is a deficient number, since it is larger than the sum of its proper divisors (844031697647).

10735222364113 is a wasteful number, since it uses less digits than its factorization.

10735222364113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76656.

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 10735222364113 in words is "ten trillion, seven hundred thirty-five billion, two hundred twenty-two million, three hundred sixty-four thousand, one hundred thirteen".