1200113313121 has 8 divisors (see below), whose sum is σ = 1200839228424. Its totient is φ = 1199387504640.

The previous prime is 1200113313071. The next prime is 1200113313149. The reversal of 1200113313121 is 1213133110021.

It can be written as a sum of positive squares in 4 ways, for example, as 88722962496 + 1111390350625 = 297864^2 + 1054225^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1200113313121 - 2³⁵ = 1165753574753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1200113313151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37817541 + ... + 37849261.

It is an arithmetic number, because the mean of its divisors is an integer number (150104903553).

Almost surely, 2^{1200113313121} is an apocalyptic number.

It is an amenable number.

1200113313121 is a deficient number, since it is larger than the sum of its proper divisors (725915303).

1200113313121 is a wasteful number, since it uses less digits than its factorization.

1200113313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53411.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1200113313121 its reverse (1213133110021), we get a palindrome (2413246423142).

The spelling of 1200113313121 in words is "one trillion, two hundred billion, one hundred thirteen million, three hundred thirteen thousand, one hundred twenty-one".