102001113323130 has 64 divisors (see below), whose sum is σ = 279785833931520. Its totient is φ = 23313594215424.

The previous prime is 102001113323093. The next prime is 102001113323231. The reversal of 102001113323130 is 31323311100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102001113323097 and 102001113323106.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4659375 + ... + 15023714.

It is an arithmetic number, because the mean of its divisors is an integer number (4371653655180).

Almost surely, 2^{102001113323130} is an apocalyptic number.

102001113323130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102001113323130 is an abundant number, since it is smaller than the sum of its proper divisors (177784720608390).

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

102001113323130 is a wasteful number, since it uses less digits than its factorization.

102001113323130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19707783.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 102001113323130 its reverse (31323311100201), we get a palindrome (133324424423331).

The spelling of 102001113323130 in words is "one hundred two trillion, one billion, one hundred thirteen million, three hundred twenty-three thousand, one hundred thirty".