1001000121311 has 2 divisors, whose sum is σ = 1001000121312. Its totient is φ = 1001000121310.

The previous prime is 1001000121293. The next prime is 1001000121353. The reversal of 1001000121311 is 1131210001001.

It is a happy number.

1001000121311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1001000121311 - 2²⁶ = 1000933012447 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001000121292 and 1001000121301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001000121911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500060655 + 500500060656.

It is an arithmetic number, because the mean of its divisors is an integer number (500500060656).

Almost surely, 2^{1001000121311} is an apocalyptic number.

1001000121311 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001000121311 is an equidigital number, since it uses as much as digits as its factorization.

1001000121311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1001000121311 its reverse (1131210001001), we get a palindrome (2132210122312).

The spelling of 1001000121311 in words is "one trillion, one billion, one hundred twenty-one thousand, three hundred eleven".