101003323113 has 128 divisors (see below), whose sum is σ = 199199784960. Its totient is φ = 49019826240.

The previous prime is 101003323079. The next prime is 101003323121. The reversal of 101003323113 is 311323300101.

It is a happy number.

101003323113 is a `hidden beast` number, since 10 + 10 + 0 + 332 + 311 + 3 = 666.

It is not a de Polignac number, because 101003323113 - 2¹⁶ = 101003257577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101003323193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2031570 + ... + 2080692.

It is an arithmetic number, because the mean of its divisors is an integer number (1556248320).

Almost surely, 2^101003323113 is an apocalyptic number.

It is an amenable number.

101003323113 is a deficient number, since it is larger than the sum of its proper divisors (98196461847).

101003323113 is a wasteful number, since it uses less digits than its factorization.

101003323113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49216 (or 49210 counting only the distinct ones).

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

Adding to 101003323113 its reverse (311323300101), we get a palindrome (412326623214).

The spelling of 101003323113 in words is "one hundred one billion, three million, three hundred twenty-three thousand, one hundred thirteen".