100103003131130 has 64 divisors (see below), whose sum is σ = 192934574036640. Its totient is φ = 37261167820800.

The previous prime is 100103003131081. The next prime is 100103003131139. The reversal of 100103003131130 is 31131300301001.

It can be written as a sum of positive squares in 16 ways, for example, as 5715307830241 + 94387695300889 = 2390671^2 + 9715333^2 .

It is a super-2 number, since 2×100103003131130² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100103003131099 and 100103003131108.

It is not an unprimeable number, because it can be changed into a prime (100103003131139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548235050 + ... + 548417610.

Almost surely, 2^{100103003131130} is an apocalyptic number.

100103003131130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100103003131130 is a deficient number, since it is larger than the sum of its proper divisors (92831570905510).

100103003131130 is a wasteful number, since it uses less digits than its factorization.

100103003131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218915.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 100103003131130 its reverse (31131300301001), we get a palindrome (131234303432131).

The spelling of 100103003131130 in words is "one hundred trillion, one hundred three billion, three million, one hundred thirty-one thousand, one hundred thirty".