13041100010 has 64 divisors (see below), whose sum is σ = 25724835360. Its totient is φ = 4740218880.

The previous prime is 13041099997. The next prime is 13041100019. The reversal of 13041100010 is 1000114031.

13041100010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 877877641 + 12163222369 = 29629^2 + 110287^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13041099964 and 13041100000.

It is not an unprimeable number, because it can be changed into a prime (13041100019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666446 + ... + 685734.

Almost surely, 2^13041100010 is an apocalyptic number.

13041100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13041100010 is a deficient number, since it is larger than the sum of its proper divisors (12683735350).

13041100010 is a wasteful number, since it uses less digits than its factorization.

13041100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19451.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 13041100010 its reverse (1000114031), we get a palindrome (14041214041).

The spelling of 13041100010 in words is "thirteen billion, forty-one million, one hundred thousand, ten".