102020313000 has 128 divisors (see below), whose sum is σ = 318845704320. Its totient is φ = 27159065600.

The previous prime is 102020312971. The next prime is 102020313001. The reversal of 102020313000 is 313020201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102020313001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1750327 + ... + 1807673.

It is an arithmetic number, because the mean of its divisors is an integer number (2490982065).

Almost surely, 2^102020313000 is an apocalyptic number.

102020313000 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 102020313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159422852160).

102020313000 is an abundant number, since it is smaller than the sum of its proper divisors (216825391320).

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

102020313000 is a wasteful number, since it uses less digits than its factorization.

102020313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57964 (or 57950 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102020313000 its reverse (313020201), we get a palindrome (102333333201).

It can be divided in two parts, 1020203 and 13000, that added together give a triangular number (1033203 = T₁₄₃₇).

The spelling of 102020313000 in words is "one hundred two billion, twenty million, three hundred thirteen thousand".