103113310133100 has 144 divisors (see below), whose sum is σ = 309289691692800. Its totient is φ = 26491863793920.

The previous prime is 103113310133083. The next prime is 103113310133131. The reversal of 103113310133100 is 1331013311301.

It is a super-2 number, since 2×103113310133100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8626720 + ... + 16752519.

It is an arithmetic number, because the mean of its divisors is an integer number (2147845081200).

Almost surely, 2^{103113310133100} is an apocalyptic number.

103113310133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103113310133100 is an abundant number, since it is smaller than the sum of its proper divisors (206176381559700).

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

103113310133100 is a wasteful number, since it uses less digits than its factorization.

103113310133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25379752 (or 25379745 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 103113310133100 its reverse (1331013311301), we get a palindrome (104444323444401).

The spelling of 103113310133100 in words is "one hundred three trillion, one hundred thirteen billion, three hundred ten million, one hundred thirty-three thousand, one hundred".