233122132002213 has 20 divisors (see below), whose sum is σ = 348249580355820. Its totient is φ = 155412341243712.

The previous prime is 233122132002127. The next prime is 233122132002299. The reversal of 233122132002213 is 312200231221332.

233122132002213 is a `hidden beast` number, since 2 + 3 + 3 + 122 + 1 + 320 + 0 + 2 + 213 = 666.

233122132002213 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 (233122132002127) and next prime (233122132002299).

It can be written as a sum of positive squares in 2 ways, for example, as 55167785960004 + 177954346042209 = 7427502^2 + 13339953^2 .

It is not a de Polignac number, because 233122132002213 - 2¹⁰ = 233122132001189 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233122132402213) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17090670 + ... + 27537887.

It is an arithmetic number, because the mean of its divisors is an integer number (17412479017791).

Almost surely, 2^{233122132002213} is an apocalyptic number.

It is an amenable number.

233122132002213 is a deficient number, since it is larger than the sum of its proper divisors (115127448353607).

233122132002213 is an equidigital number, since it uses as much as digits as its factorization.

233122132002213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44693058 (or 44693049 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 233122132002213 its reverse (312200231221332), we get a palindrome (545322363223545).

The spelling of 233122132002213 in words is "two hundred thirty-three trillion, one hundred twenty-two billion, one hundred thirty-two million, two thousand, two hundred thirteen".