102011312213 has 2 divisors, whose sum is σ = 102011312214. Its totient is φ = 102011312212.

The previous prime is 102011312201. The next prime is 102011312239. The reversal of 102011312213 is 312213110201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78252789169 + 23758523044 = 279737^2 + 154138^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011312213 - 2¹⁴ = 102011295829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102011312191 and 102011312200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102011312243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005656106 + 51005656107.

It is an arithmetic number, because the mean of its divisors is an integer number (51005656107).

Almost surely, 2^102011312213 is an apocalyptic number.

It is an amenable number.

102011312213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011312213 is an equidigital number, since it uses as much as digits as its factorization.

102011312213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102011312213 its reverse (312213110201), we get a palindrome (414224422414).

The spelling of 102011312213 in words is "one hundred two billion, eleven million, three hundred twelve thousand, two hundred thirteen".