1331101131012 has 18 divisors (see below), whose sum is σ = 3364727859038. Its totient is φ = 443700376992.

The previous prime is 1331101130999. The next prime is 1331101131023. The reversal of 1331101131012 is 2101311011331.

1331101131012 is a `hidden beast` number, since 1 + 331 + 1 + 0 + 11 + 310 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1267367099076 + 63734031936 = 1125774^2 + 252456^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×1331101131012³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18487515673 + ... + 18487515744.

Almost surely, 2^{1331101131012} is an apocalyptic number.

1331101131012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331101131012 is an abundant number, since it is smaller than the sum of its proper divisors (2033626728026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331101131012 is a wasteful number, since it uses less digits than its factorization.

1331101131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36975031427 (or 36975031422 counting only the distinct ones).

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

Adding to 1331101131012 its reverse (2101311011331), we get a palindrome (3432412142343).

The spelling of 1331101131012 in words is "one trillion, three hundred thirty-one billion, one hundred one million, one hundred thirty-one thousand, twelve".