1001133211013 has 8 divisors (see below), whose sum is σ = 1078187962488. Its totient is φ = 924084817344.

The previous prime is 1001133211007. The next prime is 1001133211019. The reversal of 1001133211013 is 3101123311001.

It is an interprime number because it is at equal distance from previous prime (1001133211007) and next prime (1001133211019).

It can be written as a sum of positive squares in 4 ways, for example, as 101277970564 + 899855240449 = 318242^2 + 948607^2 .

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

It is not a de Polignac number, because 1001133211013 - 2⁶ = 1001133210949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001133210982 and 1001133211000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001133211019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1259870 + ... + 1894607.

It is an arithmetic number, because the mean of its divisors is an integer number (134773495311).

Almost surely, 2^{1001133211013} is an apocalyptic number.

1001133211013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1001133211013 is a deficient number, since it is larger than the sum of its proper divisors (77054751475).

1001133211013 is a wasteful number, since it uses less digits than its factorization.

1001133211013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178903.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1001133211013 its reverse (3101123311001), we get a palindrome (4102256522014).

The spelling of 1001133211013 in words is "one trillion, one billion, one hundred thirty-three million, two hundred eleven thousand, thirteen".