102320013312 has 192 divisors, whose sum is σ = 322468375320. Its totient is φ = 31005081600.

The previous prime is 102320013311. The next prime is 102320013347. The reversal of 102320013312 is 213310023201.

102320013312 is a `hidden beast` number, since 10 + 2 + 320 + 0 + 1 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102320013311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3228262 + ... + 3259802.

Almost surely, 2^102320013312 is an apocalyptic number.

102320013312 is a gapful number since it is divisible by the number (12) 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 102320013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161234187660).

102320013312 is an abundant number, since it is smaller than the sum of its proper divisors (220148362008).

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

102320013312 is an equidigital number, since it uses as much as digits as its factorization.

102320013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31588 (or 31557 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102320013312 its reverse (213310023201), we get a palindrome (315630036513).

The spelling of 102320013312 in words is "one hundred two billion, three hundred twenty million, thirteen thousand, three hundred twelve".