233122121331 has 32 divisors (see below), whose sum is σ = 355005745920. Its totient is φ = 134770608000.

The previous prime is 233122121329. The next prime is 233122121333. The reversal of 233122121331 is 133121221332.

233122121331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233122121329) and next prime (233122121333).

It is not a de Polignac number, because 233122121331 - 2¹ = 233122121329 is a prime.

It is a super-2 number, since 2×233122121331² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233122121333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1388020 + ... + 1546881.

It is an arithmetic number, because the mean of its divisors is an integer number (11093929560).

Almost surely, 2^233122121331 is an apocalyptic number.

233122121331 is a deficient number, since it is larger than the sum of its proper divisors (121883624589).

233122121331 is a wasteful number, since it uses less digits than its factorization.

233122121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935027.

The product of its digits is 1296, while the sum is 24.

Adding to 233122121331 its reverse (133121221332), we get a palindrome (366243342663).

It can be divided in two parts, 233122 and 121331, that added together give a palindrome (354453).

The spelling of 233122121331 in words is "two hundred thirty-three billion, one hundred twenty-two million, one hundred twenty-one thousand, three hundred thirty-one".