1020103314 has 64 divisors (see below), whose sum is σ = 2180217600. Its totient is φ = 317509632.

The previous prime is 1020103303. The next prime is 1020103321. The reversal of 1020103314 is 4133010201.

1020103314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020103314² = 2081221542467565192, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020103293 and 1020103302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097602 + ... + 1098530.

It is an arithmetic number, because the mean of its divisors is an integer number (34065900).

Almost surely, 2^1020103314 is an apocalyptic number.

1020103314 is an abundant number, since it is smaller than the sum of its proper divisors (1160114286).

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

1020103314 is a wasteful number, since it uses less digits than its factorization.

1020103314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1020103314 is about 31939.0562477979. The cubic root of 1020103314 is about 1006.6566947587.

Adding to 1020103314 its reverse (4133010201), we get a palindrome (5153113515).

The spelling of 1020103314 in words is "one billion, twenty million, one hundred three thousand, three hundred fourteen".