1040133011331 has 8 divisors (see below), whose sum is σ = 1387537792000. Its totient is φ = 693075119112.

The previous prime is 1040133011329. The next prime is 1040133011461. The reversal of 1040133011331 is 1331103310401.

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

It is not a de Polignac number, because 1040133011331 - 2¹ = 1040133011329 is a prime.

It is a super-3 number, since 3×1040133011331³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1040133011298 and 1040133011307.

It is not an unprimeable number, because it can be changed into a prime (1040133011231) 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 7 ways as a sum of consecutive naturals, for example, 86715115 + ... + 86727108.

It is an arithmetic number, because the mean of its divisors is an integer number (173442224000).

Almost surely, 2^{1040133011331} is an apocalyptic number.

1040133011331 is a deficient number, since it is larger than the sum of its proper divisors (347404780669).

1040133011331 is a wasteful number, since it uses less digits than its factorization.

1040133011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173444225.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1040133011331 its reverse (1331103310401), we get a palindrome (2371236321732).

The spelling of 1040133011331 in words is "one trillion, forty billion, one hundred thirty-three million, eleven thousand, three hundred thirty-one".