1000312313101 has 4 divisors (see below), whose sum is σ = 1052960329600. Its totient is φ = 947664296604.

The previous prime is 1000312313089. The next prime is 1000312313113. The reversal of 1000312313101 is 1013132130001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (1000312313089) and next prime (1000312313113).

It is a cyclic number.

It is not a de Polignac number, because 1000312313101 - 2¹⁵ = 1000312280333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000312313201) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 26324008221 + ... + 26324008258.

It is an arithmetic number, because the mean of its divisors is an integer number (263240082400).

Almost surely, 2^{1000312313101} is an apocalyptic number.

It is an amenable number.

1000312313101 is a deficient number, since it is larger than the sum of its proper divisors (52648016499).

1000312313101 is an equidigital number, since it uses as much as digits as its factorization.

1000312313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52648016498.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1000312313101 its reverse (1013132130001), we get a palindrome (2013444443102).

The spelling of 1000312313101 in words is "one trillion, three hundred twelve million, three hundred thirteen thousand, one hundred one".