1002030020313 has 64 divisors (see below), whose sum is σ = 1576735641600. Its totient is φ = 554133104640.

The previous prime is 1002030020293. The next prime is 1002030020323. The reversal of 1002030020313 is 3130200302001.

It is not a de Polignac number, because 1002030020313 - 2⁹ = 1002030019801 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1002030020292 and 1002030020301.

It is not an unprimeable number, because it can be changed into a prime (1002030020323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178199220 + ... + 178204842.

It is an arithmetic number, because the mean of its divisors is an integer number (24636494400).

Almost surely, 2^{1002030020313} is an apocalyptic number.

It is an amenable number.

1002030020313 is a deficient number, since it is larger than the sum of its proper divisors (574705621287).

1002030020313 is a wasteful number, since it uses less digits than its factorization.

1002030020313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7302.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1002030020313 its reverse (3130200302001), we get a palindrome (4132230322314).

The spelling of 1002030020313 in words is "one trillion, two billion, thirty million, twenty thousand, three hundred thirteen".