1000103233113 has 24 divisors (see below), whose sum is σ = 1449305706888. Its totient is φ = 664561105152.

The previous prime is 1000103233079. The next prime is 1000103233121. The reversal of 1000103233113 is 3113323010001.

It is a happy number.

1000103233113 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 77558351049 + 922544882064 = 278493^2 + 960492^2 .

It is not a de Polignac number, because 1000103233113 - 2¹² = 1000103229017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000103233123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50365495 + ... + 50385347.

It is an arithmetic number, because the mean of its divisors is an integer number (60387737787).

Almost surely, 2^{1000103233113} is an apocalyptic number.

It is an amenable number.

1000103233113 is a deficient number, since it is larger than the sum of its proper divisors (449202473775).

1000103233113 is a wasteful number, since it uses less digits than its factorization.

1000103233113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37833 (or 37830 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1000103233113 its reverse (3113323010001), we get a palindrome (4113426243114).

The spelling of 1000103233113 in words is "one trillion, one hundred three million, two hundred thirty-three thousand, one hundred thirteen".