1001000123313 has 16 divisors (see below), whose sum is σ = 1345182655296. Its totient is φ = 662089697280.

The previous prime is 1001000123311. The next prime is 1001000123351. The reversal of 1001000123313 is 3133210001001.

It is not a de Polignac number, because 1001000123313 - 2¹ = 1001000123311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001000123292 and 1001000123301.

It is not an unprimeable number, because it can be changed into a prime (1001000123311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1491708 + ... + 2056013.

It is an arithmetic number, because the mean of its divisors is an integer number (84073915956).

Almost surely, 2^{1001000123313} is an apocalyptic number.

It is an amenable number.

1001000123313 is a deficient number, since it is larger than the sum of its proper divisors (344182531983).

1001000123313 is a wasteful number, since it uses less digits than its factorization.

1001000123313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548464.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1001000123313 its reverse (3133210001001), we get a palindrome (4134210124314).

The spelling of 1001000123313 in words is "one trillion, one billion, one hundred twenty-three thousand, three hundred thirteen".