103130101020 has 192 divisors, whose sum is σ = 304345641600. Its totient is φ = 26057687040.

The previous prime is 103130101001. The next prime is 103130101057. The reversal of 103130101020 is 20101031301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103130100987 and 103130101005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21213390 + ... + 21218250.

It is an arithmetic number, because the mean of its divisors is an integer number (1585133550).

Almost surely, 2^103130101020 is an apocalyptic number.

103130101020 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 103130101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152172820800).

103130101020 is an abundant number, since it is smaller than the sum of its proper divisors (201215540580).

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

103130101020 is a wasteful number, since it uses less digits than its factorization.

103130101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103130101020 its reverse (20101031301), we get a palindrome (123231132321).

The spelling of 103130101020 in words is "one hundred three billion, one hundred thirty million, one hundred one thousand, twenty".