1331033011331 has 8 divisors (see below), whose sum is σ = 1333547115504. Its totient is φ = 1328521243680.

The previous prime is 1331033011309. The next prime is 1331033011333. The reversal of 1331033011331 is 1331103301331.

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

It is a cyclic number.

It is not a de Polignac number, because 1331033011331 - 2¹⁸ = 1331032749187 is a prime.

It is a super-3 number, since 3×1331033011331³ (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 = 1331033011297 and 1331033011306.

It is not an unprimeable number, because it can be changed into a prime (1331033011333) 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, 558380 + ... + 1724486.

It is an arithmetic number, because the mean of its divisors is an integer number (166693389438).

Almost surely, 2^{1331033011331} is an apocalyptic number.

1331033011331 is a deficient number, since it is larger than the sum of its proper divisors (2514104173).

1331033011331 is a wasteful number, since it uses less digits than its factorization.

1331033011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168261.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 1331033011331 its reverse (1331103301331), we get a palindrome (2662136312662).

The spelling of 1331033011331 in words is "one trillion, three hundred thirty-one billion, thirty-three million, eleven thousand, three hundred thirty-one".