1011311001 has 10 divisors (see below), whose sum is σ = 1510723962. Its totient is φ = 674207280.

The previous prime is 1011310981. The next prime is 1011311057. The reversal of 1011311001 is 1001131101.

1011311001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 930311001 + 81000000 = 30501^2 + 9000^2 .

It is not a de Polignac number, because 1011311001 - 2¹⁷ = 1011179929 is a prime.

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 (1011311071) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6242580 + ... + 6242741.

Almost surely, 2^1011311001 is an apocalyptic number.

It is an amenable number.

1011311001 is a deficient number, since it is larger than the sum of its proper divisors (499412961).

1011311001 is an equidigital number, since it uses as much as digits as its factorization.

1011311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12485333 (or 12485324 counting only the distinct ones).

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

The square root of 1011311001 is about 31801.1163483297. The cubic root of 1011311001 is about 1003.7562069108.

Adding to 1011311001 its reverse (1001131101), we get a palindrome (2012442102).

It can be divided in two parts, 101131100 and 1, that added together give a palindrome (101131101).

The spelling of 1011311001 in words is "one billion, eleven million, three hundred eleven thousand, one".