1130121312201 has 72 divisors (see below), whose sum is σ = 1918288499400. Its totient is φ = 639221054976.

The previous prime is 1130121312193. The next prime is 1130121312227. The reversal of 1130121312201 is 1022131210311.

1130121312201 is a `hidden beast` number, since 1 + 1 + 30 + 121 + 312 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 585720824976 + 544400487225 = 765324^2 + 737835^2 .

It is not a de Polignac number, because 1130121312201 - 2³ = 1130121312193 is a prime.

It is a super-2 number, since 2×1130121312201² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1130121311201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21058735 + ... + 21112331.

It is an arithmetic number, because the mean of its divisors is an integer number (26642895825).

Almost surely, 2^{1130121312201} is an apocalyptic number.

It is an amenable number.

1130121312201 is a deficient number, since it is larger than the sum of its proper divisors (788167187199).

1130121312201 is a wasteful number, since it uses less digits than its factorization.

1130121312201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54103 (or 54093 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1130121312201 its reverse (1022131210311), we get a palindrome (2152252522512).

The spelling of 1130121312201 in words is "one trillion, one hundred thirty billion, one hundred twenty-one million, three hundred twelve thousand, two hundred one".