10500610011013 has 16 divisors (see below), whose sum is σ = 10861138725696. Its totient is φ = 10145122047360.

The previous prime is 10500610011011. The next prime is 10500610011043. The reversal of 10500610011013 is 31011001600501.

It is a cyclic number.

It is not a de Polignac number, because 10500610011013 - 2¹ = 10500610011011 is a prime.

It is a super-2 number, since 2×10500610011013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500610011011) 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, 11869795 + ... + 12723727.

It is an arithmetic number, because the mean of its divisors is an integer number (678821170356).

Almost surely, 2^{10500610011013} is an apocalyptic number.

It is an amenable number.

10500610011013 is a deficient number, since it is larger than the sum of its proper divisors (360528714683).

10500610011013 is a wasteful number, since it uses less digits than its factorization.

10500610011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856884.

The product of its (nonzero) digits is 90, while the sum is 19.

Adding to 10500610011013 its reverse (31011001600501), we get a palindrome (41511611611514).

The spelling of 10500610011013 in words is "ten trillion, five hundred billion, six hundred ten million, eleven thousand, thirteen".