102113410311 has 12 divisors (see below), whose sum is σ = 160905980040. Its totient is φ = 61886915280.

The previous prime is 102113410309. The next prime is 102113410319. The reversal of 102113410311 is 113014311201.

It is a happy number.

102113410311 is a `hidden beast` number, since 1 + 0 + 2 + 11 + 341 + 0 + 311 = 666.

It is not a de Polignac number, because 102113410311 - 2¹ = 102113410309 is a prime.

It is a super-2 number, since 2×102113410311² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102113410319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515724196 + ... + 515724393.

It is an arithmetic number, because the mean of its divisors is an integer number (13408831670).

Almost surely, 2^102113410311 is an apocalyptic number.

102113410311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102113410311 is a deficient number, since it is larger than the sum of its proper divisors (58792569729).

102113410311 is a wasteful number, since it uses less digits than its factorization.

102113410311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031448606 (or 1031448603 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102113410311 its reverse (113014311201), we get a palindrome (215127721512).

The spelling of 102113410311 in words is "one hundred two billion, one hundred thirteen million, four hundred ten thousand, three hundred eleven".