10034256260013 has 16 divisors (see below), whose sum is σ = 14084347032000. Its totient is φ = 6336893848320.

The previous prime is 10034256259987. The next prime is 10034256260027. The reversal of 10034256260013 is 31006265243001.

It is not a de Polignac number, because 10034256260013 - 2³³ = 10025666325421 is a prime.

It is a super-2 number, since 2×10034256260013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034256264013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6690588 + ... + 8051861.

It is an arithmetic number, because the mean of its divisors is an integer number (880271689500).

Almost surely, 2^{10034256260013} is an apocalyptic number.

It is an amenable number.

10034256260013 is a deficient number, since it is larger than the sum of its proper divisors (4050090771987).

10034256260013 is a wasteful number, since it uses less digits than its factorization.

10034256260013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14754412.

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 10034256260013 in words is "ten trillion, thirty-four billion, two hundred fifty-six million, two hundred sixty thousand, thirteen".