10345135351011 has 16 divisors (see below), whose sum is σ = 14240535383040. Its totient is φ = 6673310782560.

The previous prime is 10345135350943. The next prime is 10345135351027. The reversal of 10345135351011 is 11015353154301.

It is not a de Polignac number, because 10345135351011 - 2¹⁸ = 10345135088867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10345135351051) 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, 7440516 + ... + 8720753.

It is an arithmetic number, because the mean of its divisors is an integer number (890033461440).

Almost surely, 2^{10345135351011} is an apocalyptic number.

10345135351011 is a deficient number, since it is larger than the sum of its proper divisors (3895400032029).

10345135351011 is a wasteful number, since it uses less digits than its factorization.

10345135351011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16168186.

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 10345135351011 in words is "ten trillion, three hundred forty-five billion, one hundred thirty-five million, three hundred fifty-one thousand, eleven".