103031121330100 has 144 divisors (see below), whose sum is σ = 230939630542656. Its totient is φ = 39881635200000.

The previous prime is 103031121330091. The next prime is 103031121330107. The reversal of 103031121330100 is 1033121130301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103031121330107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122344470 + ... + 123183730.

It is an arithmetic number, because the mean of its divisors is an integer number (1603747434324).

Almost surely, 2^{103031121330100} is an apocalyptic number.

103031121330100 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 103031121330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115469815271328).

103031121330100 is an abundant number, since it is smaller than the sum of its proper divisors (127908509212556).

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

103031121330100 is a wasteful number, since it uses less digits than its factorization.

103031121330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839666 (or 839659 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 103031121330100 its reverse (1033121130301), we get a palindrome (104064242460401).

The spelling of 103031121330100 in words is "one hundred three trillion, thirty-one billion, one hundred twenty-one million, three hundred thirty thousand, one hundred".