2010100230013 has 4 divisors (see below), whose sum is σ = 2011231408060. Its totient is φ = 2008969051968.

The previous prime is 2010100229987. The next prime is 2010100230029. The reversal of 2010100230013 is 3100320010102.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 309405162564 + 1700695067449 = 556242^2 + 1304107^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2010100230013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2010100229975 and 2010100230002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010100230713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 565586358 + ... + 565589911.

It is an arithmetic number, because the mean of its divisors is an integer number (502807852015).

Almost surely, 2^{2010100230013} is an apocalyptic number.

It is an amenable number.

2010100230013 is a deficient number, since it is larger than the sum of its proper divisors (1131178047).

2010100230013 is a wasteful number, since it uses less digits than its factorization.

2010100230013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131178046.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 2010100230013 its reverse (3100320010102), we get a palindrome (5110420240115).

The spelling of 2010100230013 in words is "two trillion, ten billion, one hundred million, two hundred thirty thousand, thirteen".