1000312312021 has 24 divisors (see below), whose sum is σ = 1105070706432. Its totient is φ = 904790066400.

The previous prime is 1000312312009. The next prime is 1000312312031. The reversal of 1000312312021 is 1202132130001.

It is a de Polignac number, because none of the positive numbers 2^k-1000312312021 is a prime.

It is a super-2 number, since 2×1000312312021² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000312311986 and 1000312312004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000312312031) 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 23 ways as a sum of consecutive naturals, for example, 26107540 + ... + 26145826.

It is an arithmetic number, because the mean of its divisors is an integer number (46044612768).

Almost surely, 2^{1000312312021} is an apocalyptic number.

1000312312021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000312312021 is a deficient number, since it is larger than the sum of its proper divisors (104758394411).

1000312312021 is a wasteful number, since it uses less digits than its factorization.

1000312312021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39393 (or 39382 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1000312312021 its reverse (1202132130001), we get a palindrome (2202444442022).

The spelling of 1000312312021 in words is "one trillion, three hundred twelve million, three hundred twelve thousand, twenty-one".