1201132120113 has 16 divisors (see below), whose sum is σ = 1836856768000. Its totient is φ = 774923947920.

The previous prime is 1201132120099. The next prime is 1201132120121. The reversal of 1201132120113 is 3110212311021.

1201132120113 is a `hidden beast` number, since 120 + 11 + 321 + 201 + 13 = 666.

It is not a de Polignac number, because 1201132120113 - 2¹⁷ = 1201131989041 is a prime.

It is a super-3 number, since 3×1201132120113³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1201132120193) 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, 717521338 + ... + 717523011.

It is an arithmetic number, because the mean of its divisors is an integer number (114803548000).

Almost surely, 2^{1201132120113} is an apocalyptic number.

It is an amenable number.

1201132120113 is a deficient number, since it is larger than the sum of its proper divisors (635724647887).

1201132120113 is a wasteful number, since it uses less digits than its factorization.

1201132120113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435044389 (or 1435044383 counting only the distinct ones).

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

Adding to 1201132120113 its reverse (3110212311021), we get a palindrome (4311344431134).

The spelling of 1201132120113 in words is "one trillion, two hundred one billion, one hundred thirty-two million, one hundred twenty thousand, one hundred thirteen".