110203132013 has 8 divisors (see below), whose sum is σ = 118939996728. Its totient is φ = 101503367424.

The previous prime is 110203132003. The next prime is 110203132079. The reversal of 110203132013 is 310231302011.

It can be written as a sum of positive squares in 4 ways, for example, as 21962647204 + 88240484809 = 148198^2 + 297053^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110203132013 - 2¹² = 110203127917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110203131982 and 110203132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110203132003) 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 7 ways as a sum of consecutive naturals, for example, 9268856 + ... + 9280737.

It is an arithmetic number, because the mean of its divisors is an integer number (14867499591).

Almost surely, 2^110203132013 is an apocalyptic number.

110203132013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110203132013 is a deficient number, since it is larger than the sum of its proper divisors (8736864715).

110203132013 is a wasteful number, since it uses less digits than its factorization.

110203132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18550063.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 110203132013 its reverse (310231302011), we get a palindrome (420434434024).

The spelling of 110203132013 in words is "one hundred ten billion, two hundred three million, one hundred thirty-two thousand, thirteen".