1002310103313 has 32 divisors (see below), whose sum is σ = 1517524369920. Its totient is φ = 653546759040.

The previous prime is 1002310103273. The next prime is 1002310103351. The reversal of 1002310103313 is 3133010132001.

It is a happy number.

1002310103313 is a `hidden beast` number, since 10 + 0 + 2 + 310 + 10 + 331 + 3 = 666.

1002310103313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002310103313 - 2⁸ = 1002310103057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002310103393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1612731 + ... + 2146047.

It is an arithmetic number, because the mean of its divisors is an integer number (47422636560).

Almost surely, 2^{1002310103313} is an apocalyptic number.

It is an amenable number.

1002310103313 is a deficient number, since it is larger than the sum of its proper divisors (515214266607).

1002310103313 is a wasteful number, since it uses less digits than its factorization.

1002310103313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534854 (or 534848 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1002310103313 its reverse (3133010132001), we get a palindrome (4135320235314).

The spelling of 1002310103313 in words is "one trillion, two billion, three hundred ten million, one hundred three thousand, three hundred thirteen".