103314002144112 has 400 divisors, whose sum is σ = 311408862744672. Its totient is φ = 33041873756160.

The previous prime is 103314002144083. The next prime is 103314002144167. The reversal of 103314002144112 is 211441200413301.

It is a happy number.

103314002144112 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 400 + 2 + 144 + 112 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1345949638 + ... + 1346026394.

Almost surely, 2^{103314002144112} is an apocalyptic number.

103314002144112 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 103314002144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155704431372336).

103314002144112 is an abundant number, since it is smaller than the sum of its proper divisors (208094860600560).

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

103314002144112 is a wasteful number, since it uses less digits than its factorization.

103314002144112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77238 (or 77223 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 103314002144112 its reverse (211441200413301), we get a palindrome (314755202557413).

The spelling of 103314002144112 in words is "one hundred three trillion, three hundred fourteen billion, two million, one hundred forty-four thousand, one hundred twelve".