1013133001 has 16 divisors (see below), whose sum is σ = 1086090768. Its totient is φ = 943488000.

The previous prime is 1013132993. The next prime is 1013133047. The reversal of 1013133001 is 1003313101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 366025 + 1012766976 = 605^2 + 31824^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013133001 - 2³ = 1013132993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013133061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74101 + ... + 86701.

It is an arithmetic number, because the mean of its divisors is an integer number (67880673).

Almost surely, 2^1013133001 is an apocalyptic number.

It is an amenable number.

1013133001 is a deficient number, since it is larger than the sum of its proper divisors (72957767).

1013133001 is a wasteful number, since it uses less digits than its factorization.

1013133001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12732.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1013133001 is about 31829.7502503554. The cubic root of 1013133001 is about 1004.3586416416.

Adding to 1013133001 its reverse (1003313101), we get a palindrome (2016446102).

The spelling of 1013133001 in words is "one billion, thirteen million, one hundred thirty-three thousand, one".