121131232011313 has 8 divisors (see below), whose sum is σ = 121507406107560. Its totient is φ = 120755414989440.

The previous prime is 121131232011287. The next prime is 121131232011421. The reversal of 121131232011313 is 313110232131121.

It can be written as a sum of positive squares in 4 ways, for example, as 9299401458064 + 111831830553249 = 3049492^2 + 10575057^2 .

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 121131232011313 - 2⁵ = 121131232011281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121131239011313) 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, 88589068 + ... + 89946013.

It is an arithmetic number, because the mean of its divisors is an integer number (15188425763445).

Almost surely, 2^{121131232011313} is an apocalyptic number.

It is an amenable number.

121131232011313 is a deficient number, since it is larger than the sum of its proper divisors (376174096247).

121131232011313 is a wasteful number, since it uses less digits than its factorization.

121131232011313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178537187.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 121131232011313 its reverse (313110232131121), we get a palindrome (434241464142434).

The spelling of 121131232011313 in words is "one hundred twenty-one trillion, one hundred thirty-one billion, two hundred thirty-two million, eleven thousand, three hundred thirteen".