102213133231231 has 16 divisors (see below), whose sum is σ = 112533864775200. Its totient is φ = 92063925302400.

The previous prime is 102213133231217. The next prime is 102213133231243. The reversal of 102213133231231 is 132132331312201.

It is a cyclic number.

It is not a de Polignac number, because 102213133231231 - 2¹³ = 102213133223039 is a prime.

It is a super-2 number, since 2×102213133231231² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102213133231231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213133231201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21886641 + ... + 26142901.

It is an arithmetic number, because the mean of its divisors is an integer number (7033366548450).

Almost surely, 2^{102213133231231} is an apocalyptic number.

102213133231231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102213133231231 is a deficient number, since it is larger than the sum of its proper divisors (10320731543969).

102213133231231 is a wasteful number, since it uses less digits than its factorization.

102213133231231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276410.

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

Adding to 102213133231231 its reverse (132132331312201), we get a palindrome (234345464543432).

The spelling of 102213133231231 in words is "one hundred two trillion, two hundred thirteen billion, one hundred thirty-three million, two hundred thirty-one thousand, two hundred thirty-one".