10545020100013 has 12 divisors (see below), whose sum is σ = 12266714588700. Its totient is φ = 9038545512192.

The previous prime is 10545020099981. The next prime is 10545020100019. The reversal of 10545020100013 is 31000102054501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3087762383209 + 7457257716804 = 1757203^2 + 2730798^2 .

It is not a de Polignac number, because 10545020100013 - 2⁵ = 10545020099981 is a prime.

It is a super-2 number, since 2×10545020100013² (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 (10545020100019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13997245 + ... + 14731357.

It is an arithmetic number, because the mean of its divisors is an integer number (1022226215725).

Almost surely, 2^{10545020100013} is an apocalyptic number.

It is an amenable number.

10545020100013 is a deficient number, since it is larger than the sum of its proper divisors (1721694488687).

10545020100013 is an equidigital number, since it uses as much as digits as its factorization.

10545020100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027276 (or 1027269 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 10545020100013 its reverse (31000102054501), we get a palindrome (41545122154514).

The spelling of 10545020100013 in words is "ten trillion, five hundred forty-five billion, twenty million, one hundred thousand, thirteen".