100103103013331 has 24 divisors (see below), whose sum is σ = 110925960154800. Its totient is φ = 90263591668800.

The previous prime is 100103103013301. The next prime is 100103103013373. The reversal of 100103103013331 is 133310301301001.

It is not a de Polignac number, because 100103103013331 - 2³⁸ = 99828225106387 is a prime.

It is a super-2 number, since 2×100103103013331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100103103013301) 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 23 ways as a sum of consecutive naturals, for example, 15195701 + ... + 20763321.

It is an arithmetic number, because the mean of its divisors is an integer number (4621915006450).

Almost surely, 2^{100103103013331} is an apocalyptic number.

100103103013331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100103103013331 is a deficient number, since it is larger than the sum of its proper divisors (10822857141469).

100103103013331 is a wasteful number, since it uses less digits than its factorization.

100103103013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5568851 (or 5568840 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 100103103013331 its reverse (133310301301001), we get a palindrome (233413404314332).

The spelling of 100103103013331 in words is "one hundred trillion, one hundred three billion, one hundred three million, thirteen thousand, three hundred thirty-one".