103202013312 has 96 divisors (see below), whose sum is σ = 299915223660. Its totient is φ = 34060032000.

The previous prime is 103202013269. The next prime is 103202013329. The reversal of 103202013312 is 213310202301.

103202013312 is a `hidden beast` number, since 1 + 0 + 320 + 20 + 13 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102794619456 + 407393856 = 320616^2 + 20184^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327139 + ... + 559842.

Almost surely, 2^103202013312 is an apocalyptic number.

103202013312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103202013312 is an abundant number, since it is smaller than the sum of its proper divisors (196713210348).

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

103202013312 is a wasteful number, since it uses less digits than its factorization.

103202013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887102 (or 887087 counting only the distinct ones).

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

Adding to 103202013312 its reverse (213310202301), we get a palindrome (316512215613).

The spelling of 103202013312 in words is "one hundred three billion, two hundred two million, thirteen thousand, three hundred twelve".