121331231111313 has 80 divisors (see below), whose sum is σ = 183095647637760. Its totient is φ = 80067160980576.

The previous prime is 121331231111291. The next prime is 121331231111351. The reversal of 121331231111313 is 313111132133121.

121331231111313 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 3 + 1 + 231 + 111 + 313 = 666.

It is not a de Polignac number, because 121331231111313 - 2¹⁷ = 121331230980241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121331231111813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8739547270 + ... + 8739561152.

It is an arithmetic number, because the mean of its divisors is an integer number (2288695595472).

Almost surely, 2^{121331231111313} is an apocalyptic number.

It is an amenable number.

121331231111313 is a deficient number, since it is larger than the sum of its proper divisors (61764416526447).

121331231111313 is a wasteful number, since it uses less digits than its factorization.

121331231111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16680 (or 16671 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

Adding to 121331231111313 its reverse (313111132133121), we get a palindrome (434442363244434).

The spelling of 121331231111313 in words is "one hundred twenty-one trillion, three hundred thirty-one billion, two hundred thirty-one million, one hundred eleven thousand, three hundred thirteen".