1020310311313 has 8 divisors (see below), whose sum is σ = 1037642356800. Its totient is φ = 1002979554288.

The previous prime is 1020310311277. The next prime is 1020310311341. The reversal of 1020310311313 is 3131130130201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020310311313 - 2²¹ = 1020308214161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020310311343) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1348020 + ... + 1964122.

It is an arithmetic number, because the mean of its divisors is an integer number (129705294600).

Almost surely, 2^{1020310311313} is an apocalyptic number.

It is an amenable number.

1020310311313 is a deficient number, since it is larger than the sum of its proper divisors (17332045487).

1020310311313 is an equidigital number, since it uses as much as digits as its factorization.

1020310311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644231.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1020310311313 its reverse (3131130130201), we get a palindrome (4151440441514).

It can be divided in two parts, 10203103 and 11313, that added together give a square (10214416 = 3196²).

The spelling of 1020310311313 in words is "one trillion, twenty billion, three hundred ten million, three hundred eleven thousand, three hundred thirteen".