1020003201320 has 16 divisors (see below), whose sum is σ = 2295007203060. Its totient is φ = 408001280512.

The previous prime is 1020003201299. The next prime is 1020003201341. The reversal of 1020003201320 is 231023000201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1020003201299) and next prime (1020003201341).

It can be written as a sum of positive squares in 2 ways, for example, as 1016858459236 + 3144742084 = 1008394^2 + 56078^2 .

It is a super-3 number, since 3×1020003201320³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020003201295 and 1020003201304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12750039977 + ... + 12750040056.

Almost surely, 2^{1020003201320} is an apocalyptic number.

1020003201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020003201320 is an abundant number, since it is smaller than the sum of its proper divisors (1275004001740).

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

1020003201320 is a wasteful number, since it uses less digits than its factorization.

1020003201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25500080044 (or 25500080040 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1020003201320 its reverse (231023000201), we get a palindrome (1251026201521).

The spelling of 1020003201320 in words is "one trillion, twenty billion, three million, two hundred one thousand, three hundred twenty".