102013223102231 has 16 divisors (see below), whose sum is σ = 123444913109760. Its totient is φ = 82296154584960.

The previous prime is 102013223102171. The next prime is 102013223102281. The reversal of 102013223102231 is 132201322310201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102013223102231 is a prime.

It is a super-2 number, since 2×102013223102231² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102013223102197 and 102013223102206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013223102281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52212176 + ... + 54130746.

It is an arithmetic number, because the mean of its divisors is an integer number (7715307069360).

Almost surely, 2^{102013223102231} is an apocalyptic number.

102013223102231 is a deficient number, since it is larger than the sum of its proper divisors (21431690007529).

102013223102231 is a wasteful number, since it uses less digits than its factorization.

102013223102231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365414.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 102013223102231 its reverse (132201322310201), we get a palindrome (234214545412432).

The spelling of 102013223102231 in words is "one hundred two trillion, thirteen billion, two hundred twenty-three million, one hundred two thousand, two hundred thirty-one".