103320031233312 has 120 divisors (see below), whose sum is σ = 312073810844796. Its totient is φ = 33509199287808.

The previous prime is 103320031233283. The next prime is 103320031233373. The reversal of 103320031233312 is 213332130023301.

103320031233312 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 2 + 0 + 0 + 312 + 33 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89751446428176 + 13568584805136 = 9473724^2 + 3683556^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 538567923 + ... + 538759730.

Almost surely, 2^{103320031233312} is an apocalyptic number.

103320031233312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103320031233312 is an abundant number, since it is smaller than the sum of its proper divisors (208753779611484).

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

103320031233312 is a wasteful number, since it uses less digits than its factorization.

103320031233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077327712 (or 1077327695 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103320031233312 its reverse (213332130023301), we get a palindrome (316652161256613).

The spelling of 103320031233312 in words is "one hundred three trillion, three hundred twenty billion, thirty-one million, two hundred thirty-three thousand, three hundred twelve".