101003002113 has 32 divisors (see below), whose sum is σ = 149201305344. Its totient is φ = 60390749952.

The previous prime is 101003002109. The next prime is 101003002141. The reversal of 101003002113 is 311200300101.

It is not a de Polignac number, because 101003002113 - 2² = 101003002109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101003002013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24306 + ... + 450107.

It is an arithmetic number, because the mean of its divisors is an integer number (4662540792).

Almost surely, 2^101003002113 is an apocalyptic number.

101003002113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101003002113 is a deficient number, since it is larger than the sum of its proper divisors (48198303231).

101003002113 is a wasteful number, since it uses less digits than its factorization.

101003002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474585.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101003002113 its reverse (311200300101), we get a palindrome (412203302214).

The spelling of 101003002113 in words is "one hundred one billion, three million, two thousand, one hundred thirteen".