1331002311011 has 16 divisors (see below), whose sum is σ = 1339585600320. Its totient is φ = 1322454643200.

The previous prime is 1331002310987. The next prime is 1331002311053. The reversal of 1331002311011 is 1101132001331.

It is a cyclic number.

It is not a de Polignac number, because 1331002311011 - 2¹⁴ = 1331002294627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331002361011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125549111 + ... + 125559711.

It is an arithmetic number, because the mean of its divisors is an integer number (83724100020).

Almost surely, 2^{1331002311011} is an apocalyptic number.

1331002311011 is a deficient number, since it is larger than the sum of its proper divisors (8583289309).

1331002311011 is a wasteful number, since it uses less digits than its factorization.

1331002311011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12206.

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

Adding to 1331002311011 its reverse (1101132001331), we get a palindrome (2432134312342).

The spelling of 1331002311011 in words is "one trillion, three hundred thirty-one billion, two million, three hundred eleven thousand, eleven".