121331567 has 16 divisors (see below), whose sum is σ = 147163392. Its totient is φ = 97653120.

The previous prime is 121331531. The next prime is 121331627. The reversal of 121331567 is 765133121.

It is a cyclic number.

It is not a de Polignac number, because 121331567 - 2¹⁶ = 121266031 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121331527) 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, 66092 + ... + 67902.

It is an arithmetic number, because the mean of its divisors is an integer number (9197712).

Almost surely, 2^121331567 is an apocalyptic number.

121331567 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

121331567 is a deficient number, since it is larger than the sum of its proper divisors (25831825).

121331567 is a wasteful number, since it uses less digits than its factorization.

121331567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398.

The product of its digits is 3780, while the sum is 29.

The square root of 121331567 is about 11015.0609167630. The cubic root of 121331567 is about 495.0601117353.

Adding to 121331567 its reverse (765133121), we get a palindrome (886464688).

The spelling of 121331567 in words is "one hundred twenty-one million, three hundred thirty-one thousand, five hundred sixty-seven".