1001013400311 has 16 divisors (see below), whose sum is σ = 1383348178560. Its totient is φ = 643098445920.

The previous prime is 1001013400271. The next prime is 1001013400313. The reversal of 1001013400311 is 1130043101001.

It is not a de Polignac number, because 1001013400311 - 2²⁹ = 1000476529399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001013400313) 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 15 ways as a sum of consecutive naturals, for example, 10954405 + ... + 11045406.

It is an arithmetic number, because the mean of its divisors is an integer number (86459261160).

Almost surely, 2^{1001013400311} is an apocalyptic number.

1001013400311 is a deficient number, since it is larger than the sum of its proper divisors (382334778249).

1001013400311 is a wasteful number, since it uses less digits than its factorization.

1001013400311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22000366.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1001013400311 its reverse (1130043101001), we get a palindrome (2131056501312).

The spelling of 1001013400311 in words is "one trillion, one billion, thirteen million, four hundred thousand, three hundred eleven".