1002313001300 has 36 divisors (see below), whose sum is σ = 2342328386076. Its totient is φ = 370084800000.

The previous prime is 1002313001293. The next prime is 1002313001341. The reversal of 1002313001300 is 31003132001.

It can be written as a sum of positive squares in 6 ways, for example, as 158821378576 + 843491622724 = 398524^2 + 918418^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385503701 + ... + 385506300.

It is an arithmetic number, because the mean of its divisors is an integer number (65064677391).

Almost surely, 2^{1002313001300} is an apocalyptic number.

1002313001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002313001300 is an abundant number, since it is smaller than the sum of its proper divisors (1340015384776).

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

1002313001300 is a wasteful number, since it uses less digits than its factorization.

1002313001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771010028 (or 771010021 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1002313001300 its reverse (31003132001), we get a palindrome (1033316133301).

The spelling of 1002313001300 in words is "one trillion, two billion, three hundred thirteen million, one thousand, three hundred".