102213413313301 has 16 divisors (see below), whose sum is σ = 108659298839040. Its totient is φ = 95874167851200.

The previous prime is 102213413313289. The next prime is 102213413313307. The reversal of 102213413313301 is 103313314312201.

It is a cyclic number.

It is not a de Polignac number, because 102213413313301 - 2⁷ = 102213413313173 is a prime.

It is a super-2 number, since 2×102213413313301² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102213413313301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213413313307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375782716 + ... + 376054618.

It is an arithmetic number, because the mean of its divisors is an integer number (6791206177440).

Almost surely, 2^{102213413313301} is an apocalyptic number.

It is an amenable number.

102213413313301 is a deficient number, since it is larger than the sum of its proper divisors (6445885525739).

102213413313301 is a wasteful number, since it uses less digits than its factorization.

102213413313301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467916.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 102213413313301 its reverse (103313314312201), we get a palindrome (205526727625502).

The spelling of 102213413313301 in words is "one hundred two trillion, two hundred thirteen billion, four hundred thirteen million, three hundred thirteen thousand, three hundred one".