102213013132033 has 8 divisors (see below), whose sum is σ = 107593444314720. Its totient is φ = 96832661840640.

The previous prime is 102213013132003. The next prime is 102213013132081. The reversal of 102213013132033 is 330231310312201.

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 102213013132033 - 2²⁵ = 102212979577601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102213013131989 and 102213013132007.

It is not an unprimeable number, because it can be changed into a prime (102213013132003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17337760 + ... + 22472737.

It is an arithmetic number, because the mean of its divisors is an integer number (13449180539340).

Almost surely, 2^{102213013132033} is an apocalyptic number.

It is an amenable number.

102213013132033 is a deficient number, since it is larger than the sum of its proper divisors (5380431182687).

102213013132033 is a wasteful number, since it uses less digits than its factorization.

102213013132033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39945647.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 102213013132033 its reverse (330231310312201), we get a palindrome (432444323444234).

The spelling of 102213013132033 in words is "one hundred two trillion, two hundred thirteen billion, thirteen million, one hundred thirty-two thousand, thirty-three".