1005311402001 has 12 divisors (see below), whose sum is σ = 1453498135440. Its totient is φ = 669569909400.

The previous prime is 1005311401981. The next prime is 1005311402009. The reversal of 1005311402001 is 1002041135001.

1005311402001 is a `hidden beast` number, since 100 + 531 + 14 + 0 + 20 + 0 + 1 = 666.

It is not a de Polignac number, because 1005311402001 - 2²¹ = 1005309304849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005311402009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53131011 + ... + 53149928.

It is an arithmetic number, because the mean of its divisors is an integer number (121124844620).

Almost surely, 2^{1005311402001} is an apocalyptic number.

It is an amenable number.

1005311402001 is a deficient number, since it is larger than the sum of its proper divisors (448186733439).

1005311402001 is a wasteful number, since it uses less digits than its factorization.

1005311402001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106281996 (or 106281993 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 1005311402001 its reverse (1002041135001), we get a palindrome (2007352537002).

The spelling of 1005311402001 in words is "one trillion, five billion, three hundred eleven million, four hundred two thousand, one".