1330131121011 has 128 divisors (see below), whose sum is σ = 2493893836800. Its totient is φ = 680566320000.

The previous prime is 1330131120977. The next prime is 1330131121013. The reversal of 1330131121011 is 1101211310331.

1330131121011 is a `hidden beast` number, since 1 + 330 + 1 + 311 + 2 + 10 + 11 = 666.

It is not a de Polignac number, because 1330131121011 - 2³¹ = 1327983637363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1330131121013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 169894045 + ... + 169901873.

It is an arithmetic number, because the mean of its divisors is an integer number (19483545600).

Almost surely, 2^{1330131121011} is an apocalyptic number.

1330131121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1330131121011 is a deficient number, since it is larger than the sum of its proper divisors (1163762715789).

1330131121011 is a wasteful number, since it uses less digits than its factorization.

1330131121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9078 (or 9072 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1330131121011 its reverse (1101211310331), we get a palindrome (2431342431342).

The spelling of 1330131121011 in words is "one trillion, three hundred thirty billion, one hundred thirty-one million, one hundred twenty-one thousand, eleven".