102213120320133 has 64 divisors (see below), whose sum is σ = 147826216581120. Its totient is φ = 62647992684288.

The previous prime is 102213120320081. The next prime is 102213120320161. The reversal of 102213120320133 is 331023021312201.

It is not a de Polignac number, because 102213120320133 - 2¹⁸ = 102213120057989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213110320133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4405156710 + ... + 4405179912.

It is an arithmetic number, because the mean of its divisors is an integer number (2309784634080).

Almost surely, 2^{102213120320133} is an apocalyptic number.

It is an amenable number.

102213120320133 is a deficient number, since it is larger than the sum of its proper divisors (45613096260987).

102213120320133 is a wasteful number, since it uses less digits than its factorization.

102213120320133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44138.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102213120320133 its reverse (331023021312201), we get a palindrome (433236141632334).

The spelling of 102213120320133 in words is "one hundred two trillion, two hundred thirteen billion, one hundred twenty million, three hundred twenty thousand, one hundred thirty-three".