102213012310113 has 16 divisors (see below), whose sum is σ = 144303825922560. Its totient is φ = 64132275822336.

The previous prime is 102213012310099. The next prime is 102213012310153. The reversal of 102213012310113 is 311013210312201.

It is not a de Polignac number, because 102213012310113 - 2³² = 102208717342817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102213012310113.

It is not an unprimeable number, because it can be changed into a prime (102213012310153) 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, 19148470 + ... + 23897487.

It is an arithmetic number, because the mean of its divisors is an integer number (9018989120160).

Almost surely, 2^{102213012310113} is an apocalyptic number.

It is an amenable number.

102213012310113 is a deficient number, since it is larger than the sum of its proper divisors (42090813612447).

102213012310113 is a wasteful number, since it uses less digits than its factorization.

102213012310113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43092536.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 102213012310113 its reverse (311013210312201), we get a palindrome (413226222622314).

The spelling of 102213012310113 in words is "one hundred two trillion, two hundred thirteen billion, twelve million, three hundred ten thousand, one hundred thirteen".