102213413 has 2 divisors, whose sum is σ = 102213414. Its totient is φ = 102213412.

The previous prime is 102213383. The next prime is 102213443. The reversal of 102213413 is 314312201.

It is a balanced prime because it is at equal distance from previous prime (102213383) and next prime (102213443).

It can be written as a sum of positive squares in only one way, i.e., 74356129 + 27857284 = 8623^2 + 5278^2 .

It is a cyclic number.

It is not a de Polignac number, because 102213413 - 2²⁰ = 101164837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102213391 and 102213400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102213443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106706 + 51106707.

It is an arithmetic number, because the mean of its divisors is an integer number (51106707).

Almost surely, 2^102213413 is an apocalyptic number.

It is an amenable number.

102213413 is a deficient number, since it is larger than the sum of its proper divisors (1).

102213413 is an equidigital number, since it uses as much as digits as its factorization.

102213413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 102213413 is about 10110.0649354987. The cubic root of 102213413 is about 467.5585071714.

Adding to 102213413 its reverse (314312201), we get a palindrome (416525614).

The spelling of 102213413 in words is "one hundred two million, two hundred thirteen thousand, four hundred thirteen".