102013113033 has 24 divisors (see below), whose sum is σ = 160598972352. Its totient is φ = 62020941408.

The previous prime is 102013112989. The next prime is 102013113053. The reversal of 102013113033 is 330311310201.

It is a happy number.

It is not a de Polignac number, because 102013113033 - 2⁸ = 102013112777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102013112997 and 102013113015.

It is not an unprimeable number, because it can be changed into a prime (102013113053) 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 23 ways as a sum of consecutive naturals, for example, 5242741 + ... + 5262162.

It is an arithmetic number, because the mean of its divisors is an integer number (6691623848).

Almost surely, 2^102013113033 is an apocalyptic number.

102013113033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102013113033 is a deficient number, since it is larger than the sum of its proper divisors (58585859319).

102013113033 is a wasteful number, since it uses less digits than its factorization.

102013113033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10505005 (or 10505002 counting only the distinct ones).

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

Adding to 102013113033 its reverse (330311310201), we get a palindrome (432324423234).

The spelling of 102013113033 in words is "one hundred two billion, thirteen million, one hundred thirteen thousand, thirty-three".