10103232200113 has 8 divisors (see below), whose sum is σ = 10885495376168. Its totient is φ = 9321696376704.

The previous prime is 10103232200111. The next prime is 10103232200137. The reversal of 10103232200113 is 31100223230101.

10103232200113 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 4 ways, for example, as 205614181809 + 9897618018304 = 453447^2 + 3146048^2 .

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 10103232200113 - 2¹ = 10103232200111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10103232200111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181809306 + ... + 181864867.

It is an arithmetic number, because the mean of its divisors is an integer number (1360686922021).

Almost surely, 2^{10103232200113} is an apocalyptic number.

10103232200113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10103232200113 is a deficient number, since it is larger than the sum of its proper divisors (782263176055).

10103232200113 is a wasteful number, since it uses less digits than its factorization.

10103232200113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363676323.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10103232200113 its reverse (31100223230101), we get a palindrome (41203455430214).

The spelling of 10103232200113 in words is "ten trillion, one hundred three billion, two hundred thirty-two million, two hundred thousand, one hundred thirteen".