102213121023313 has 8 divisors (see below), whose sum is σ = 102220675897032. Its totient is φ = 102205566468096.

The previous prime is 102213121023301. The next prime is 102213121023347. The reversal of 102213121023313 is 313320121312201.

It can be written as a sum of positive squares in 4 ways, for example, as 42503006641489 + 59710114381824 = 6519433^2 + 7727232^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102213121023313 - 2³⁷ = 102075682069841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102213121020313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1227640381 + ... + 1227723637.

It is an arithmetic number, because the mean of its divisors is an integer number (12777584487129).

Almost surely, 2^{102213121023313} is an apocalyptic number.

It is an amenable number.

102213121023313 is a deficient number, since it is larger than the sum of its proper divisors (7554873719).

102213121023313 is an equidigital number, since it uses as much as digits as its factorization.

102213121023313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159251.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 102213121023313 its reverse (313320121312201), we get a palindrome (415533242335514).

The spelling of 102213121023313 in words is "one hundred two trillion, two hundred thirteen billion, one hundred twenty-one million, twenty-three thousand, three hundred thirteen".