102013022313000 has 192 divisors, whose sum is σ = 344811669059520. Its totient is φ = 27202868784000.

The previous prime is 102013022312959. The next prime is 102013022313131. The reversal of 102013022313000 is 313220310201.

102013022313000 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 130 + 2 + 231 + 300 + 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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528986595 + ... + 529179405.

It is an arithmetic number, because the mean of its divisors is an integer number (1795894109685).

Almost surely, 2^{102013022313000} is an apocalyptic number.

102013022313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013022313000 is an abundant number, since it is smaller than the sum of its proper divisors (242798646746520).

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

102013022313000 is a wasteful number, since it uses less digits than its factorization.

102013022313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251625 (or 251608 counting only the distinct ones).

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

Adding to 102013022313000 its reverse (313220310201), we get a palindrome (102326242623201).

The spelling of 102013022313000 in words is "one hundred two trillion, thirteen billion, twenty-two million, three hundred thirteen thousand".