1011003130001 has 8 divisors (see below), whose sum is σ = 1070704840680. Its totient is φ = 951327079168.

The previous prime is 1011003129973. The next prime is 1011003130019. The reversal of 1011003130001 is 1000313001101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24062214400 + 986940915601 = 155120^2 + 993449^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011003130001 - 2³⁴ = 993823260817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011003130901) 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 7 ways as a sum of consecutive naturals, for example, 6333806 + ... + 6491463.

It is an arithmetic number, because the mean of its divisors is an integer number (133838105085).

Almost surely, 2^{1011003130001} is an apocalyptic number.

It is an amenable number.

1011003130001 is a deficient number, since it is larger than the sum of its proper divisors (59701710679).

1011003130001 is a wasteful number, since it uses less digits than its factorization.

1011003130001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12829923.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 1011003130001 its reverse (1000313001101), we get a palindrome (2011316131102).

It can be divided in two parts, 10 and 11003130001, that added together give a palindrome (11003130011).

The spelling of 1011003130001 in words is "one trillion, eleven billion, three million, one hundred thirty thousand, one".