1001142413033 has 12 divisors (see below), whose sum is σ = 1164611165652. Its totient is φ = 858109593600.

The previous prime is 1001142413027. The next prime is 1001142413053. The reversal of 1001142413033 is 3303142411001.

It can be written as a sum of positive squares in 2 ways, for example, as 490186217689 + 510956195344 = 700133^2 + 714812^2 .

It is not a de Polignac number, because 1001142413033 - 2³⁴ = 983962543849 is a prime.

It is a super-2 number, since 2×1001142413033² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001142413053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5208233 + ... + 5397033.

It is an arithmetic number, because the mean of its divisors is an integer number (97050930471).

Almost surely, 2^{1001142413033} is an apocalyptic number.

It is an amenable number.

1001142413033 is a deficient number, since it is larger than the sum of its proper divisors (163468752619).

1001142413033 is a wasteful number, since it uses less digits than its factorization.

1001142413033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297032 (or 297025 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1001142413033 its reverse (3303142411001), we get a palindrome (4304284824034).

The spelling of 1001142413033 in words is "one trillion, one billion, one hundred forty-two million, four hundred thirteen thousand, thirty-three".