1033001131113 has 18 divisors (see below), whose sum is σ = 1735722989754. Its totient is φ = 590286360384.

The previous prime is 1033001131103. The next prime is 1033001131139. The reversal of 1033001131113 is 3111311003301.

1033001131113 is a `hidden beast` number, since 1 + 0 + 330 + 0 + 11 + 311 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 909892777689 + 123108353424 = 953883^2 + 350868^2 .

It is not a de Polignac number, because 1033001131113 - 2¹³ = 1033001122921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1033001131103) 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 17 ways as a sum of consecutive naturals, for example, 1171202656 + ... + 1171203537.

Almost surely, 2^{1033001131113} is an apocalyptic number.

It is an amenable number.

1033001131113 is a deficient number, since it is larger than the sum of its proper divisors (702721858641).

1033001131113 is a wasteful number, since it uses less digits than its factorization.

1033001131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342406213 (or 2342406203 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1033001131113 its reverse (3111311003301), we get a palindrome (4144312134414).

The spelling of 1033001131113 in words is "one trillion, thirty-three billion, one million, one hundred thirty-one thousand, one hundred thirteen".