102113113103320 has 256 divisors, whose sum is σ = 265740131911680. Its totient is φ = 34901060812800.

The previous prime is 102113113103311. The next prime is 102113113103467. The reversal of 102113113103320 is 23301311311201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102113113103291 and 102113113103300.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 26710202929 + ... + 26710206751.

It is an arithmetic number, because the mean of its divisors is an integer number (1038047390280).

Almost surely, 2^{102113113103320} is an apocalyptic number.

102113113103320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102113113103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132870065955840).

102113113103320 is an abundant number, since it is smaller than the sum of its proper divisors (163627018808360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102113113103320 is a wasteful number, since it uses less digits than its factorization.

102113113103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7706 (or 7702 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 102113113103320 its reverse (23301311311201), we get a palindrome (125414424414521).

The spelling of 102113113103320 in words is "one hundred two trillion, one hundred thirteen billion, one hundred thirteen million, one hundred three thousand, three hundred twenty".