213130432031117 has 2 divisors, whose sum is σ = 213130432031118. Its totient is φ = 213130432031116.

The previous prime is 213130432031003. The next prime is 213130432031173. The reversal of 213130432031117 is 711130234031312.

213130432031117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 166962293689321 + 46168138341796 = 12921389^2 + 6794714^2 .

It is a cyclic number.

It is not a de Polignac number, because 213130432031117 - 2²⁴ = 213130415253901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213130432091117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106565216015558 + 106565216015559.

It is an arithmetic number, because the mean of its divisors is an integer number (106565216015559).

Almost surely, 2^{213130432031117} is an apocalyptic number.

It is an amenable number.

213130432031117 is a deficient number, since it is larger than the sum of its proper divisors (1).

213130432031117 is an equidigital number, since it uses as much as digits as its factorization.

213130432031117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 32.

Adding to 213130432031117 its reverse (711130234031312), we get a palindrome (924260666062429).

The spelling of 213130432031117 in words is "two hundred thirteen trillion, one hundred thirty billion, four hundred thirty-two million, thirty-one thousand, one hundred seventeen".