102013223130 has 192 divisors, whose sum is σ = 328333824000. Its totient is φ = 21398957568.

The previous prime is 102013223017. The next prime is 102013223141. The reversal of 102013223130 is 31322310201.

102013223130 is a `hidden beast` number, since 10 + 20 + 1 + 322 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1380871 + ... + 1452869.

It is an arithmetic number, because the mean of its divisors is an integer number (1710072000).

Almost surely, 2^102013223130 is an apocalyptic number.

102013223130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102013223130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164166912000).

102013223130 is an abundant number, since it is smaller than the sum of its proper divisors (226320600870).

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

102013223130 is a wasteful number, since it uses less digits than its factorization.

102013223130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72205 (or 72202 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102013223130 its reverse (31322310201), we get a palindrome (133335533331).

The spelling of 102013223130 in words is "one hundred two billion, thirteen million, two hundred twenty-three thousand, one hundred thirty".