213012130102133 has 2 divisors, whose sum is σ = 213012130102134. Its totient is φ = 213012130102132.

The previous prime is 213012130102127. The next prime is 213012130102157. The reversal of 213012130102133 is 331201031210312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212110765944529 + 901364157604 = 14564023^2 + 949402^2 .

It is a cyclic number.

It is not a de Polignac number, because 213012130102133 - 2¹⁰ = 213012130101109 is a prime.

It is a super-2 number, since 2×213012130102133² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213012130102099 and 213012130102108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213012130102633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106506065051066 + 106506065051067.

It is an arithmetic number, because the mean of its divisors is an integer number (106506065051067).

Almost surely, 2^{213012130102133} is an apocalyptic number.

It is an amenable number.

213012130102133 is a deficient number, since it is larger than the sum of its proper divisors (1).

213012130102133 is an equidigital number, since it uses as much as digits as its factorization.

213012130102133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 213012130102133 its reverse (331201031210312), we get a palindrome (544213161312445).

The spelling of 213012130102133 in words is "two hundred thirteen trillion, twelve billion, one hundred thirty million, one hundred two thousand, one hundred thirty-three".