103101031000 has 128 divisors (see below), whose sum is σ = 263473067520. Its totient is φ = 37450800000.

The previous prime is 103101030997. The next prime is 103101031063. The reversal of 103101031000 is 130101301.

It is a super-2 number, since 2×103101031000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 31 ways as a sum of consecutive naturals, for example, 11336455 + ... + 11345545.

It is an arithmetic number, because the mean of its divisors is an integer number (2058383340).

Almost surely, 2^103101031000 is an apocalyptic number.

103101031000 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 103101031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131736533760).

103101031000 is an abundant number, since it is smaller than the sum of its proper divisors (160372036520).

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

103101031000 is a wasteful number, since it uses less digits than its factorization.

103101031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10154 (or 10140 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 103101031000 its reverse (130101301), we get a palindrome (103231132301).

It can be divided in two parts, 10310 and 1031000, that multiplied together give a square (10629610000 = 103100²).

The spelling of 103101031000 in words is "one hundred three billion, one hundred one million, thirty-one thousand".