102213033132113 has 4 divisors (see below), whose sum is σ = 102436694036580. Its totient is φ = 101989372227648.

The previous prime is 102213033132103. The next prime is 102213033132139. The reversal of 102213033132113 is 311231330312201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 73954633697344 + 28258399434769 = 8599688^2 + 5315863^2 .

It is a cyclic number.

It is not a de Polignac number, because 102213033132113 - 2²⁸ = 102212764696657 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102213033132103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111830451548 + ... + 111830452461.

It is an arithmetic number, because the mean of its divisors is an integer number (25609173509145).

Almost surely, 2^{102213033132113} is an apocalyptic number.

It is an amenable number.

102213033132113 is a deficient number, since it is larger than the sum of its proper divisors (223660904467).

102213033132113 is an equidigital number, since it uses as much as digits as its factorization.

102213033132113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223660904466.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 102213033132113 its reverse (311231330312201), we get a palindrome (413444363444314).

The spelling of 102213033132113 in words is "one hundred two trillion, two hundred thirteen billion, thirty-three million, one hundred thirty-two thousand, one hundred thirteen".