30001111001001 has 72 divisors (see below), whose sum is σ = 53387804793960. Its totient is φ = 16131279015936.

The previous prime is 30001111000981. The next prime is 30001111001033. The reversal of 30001111001001 is 10010011110003.

It can be written as a sum of positive squares in 4 ways, for example, as 19641950341776 + 10359160659225 = 4431924^2 + 3218565^2 .

It is not a de Polignac number, because 30001111001001 - 2⁷ = 30001111000873 is a prime.

It is a super-2 number, since 2×30001111001001² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (30001111001801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31748965 + ... + 32680253.

It is an arithmetic number, because the mean of its divisors is an integer number (741497288805).

Almost surely, 2^{30001111001001} is an apocalyptic number.

It is an amenable number.

30001111001001 is a deficient number, since it is larger than the sum of its proper divisors (23386693792959).

30001111001001 is a wasteful number, since it uses less digits than its factorization.

30001111001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935623 (or 935613 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 30001111001001 its reverse (10010011110003), we get a palindrome (40011122111004).

The spelling of 30001111001001 in words is "thirty trillion, one billion, one hundred eleven million, one thousand, one".