102010103013 has 72 divisors (see below), whose sum is σ = 175507166016. Its totient is φ = 52494624000.

The previous prime is 102010102967. The next prime is 102010103051. The reversal of 102010103013 is 310301010201.

It is not a de Polignac number, because 102010103013 - 2²⁰ = 102009054437 is a prime.

It is a super-2 number, since 2×102010103013² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102010103013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010103093) 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 71 ways as a sum of consecutive naturals, for example, 968488 + ... + 1068638.

It is an arithmetic number, because the mean of its divisors is an integer number (2437599528).

Almost surely, 2^102010103013 is an apocalyptic number.

102010103013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102010103013 is a deficient number, since it is larger than the sum of its proper divisors (73497063003).

102010103013 is a wasteful number, since it uses less digits than its factorization.

102010103013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100235 (or 100215 counting only the distinct ones).

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

Adding to 102010103013 its reverse (310301010201), we get a palindrome (412311113214).

The spelling of 102010103013 in words is "one hundred two billion, ten million, one hundred three thousand, thirteen".