102313103100 has 144 divisors (see below), whose sum is σ = 319019164800. Its totient is φ = 25167225600.

The previous prime is 102313103033. The next prime is 102313103143. The reversal of 102313103100 is 1301313201.

It is a super-2 number, since 2×102313103100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102313103100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6118551 + ... + 6135249.

Almost surely, 2^102313103100 is an apocalyptic number.

102313103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102313103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159509582400).

102313103100 is an abundant number, since it is smaller than the sum of its proper divisors (216706061700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102313103100 is a wasteful number, since it uses less digits than its factorization.

102313103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18300 (or 18293 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 102313103100 its reverse (1301313201), we get a palindrome (103614416301).

The spelling of 102313103100 in words is "one hundred two billion, three hundred thirteen million, one hundred three thousand, one hundred".