103100023313100 has 216 divisors, whose sum is σ = 360040438937088. Its totient is φ = 24462158870400.

The previous prime is 103100023313083. The next prime is 103100023313123. The reversal of 103100023313100 is 1313320001301.

It is a happy number.

103100023313100 is a `hidden beast` number, since 10 + 3 + 10 + 0 + 0 + 2 + 331 + 310 + 0 = 666.

It is a super-3 number, since 3×103100023313100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110323464 + ... + 111254063.

It is an arithmetic number, because the mean of its divisors is an integer number (1666853883968).

Almost surely, 2^{103100023313100} is an apocalyptic number.

103100023313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103100023313100 is an abundant number, since it is smaller than the sum of its proper divisors (256940415623988).

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

103100023313100 is a wasteful number, since it uses less digits than its factorization.

103100023313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221577605 (or 221577595 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103100023313100 its reverse (1313320001301), we get a palindrome (104413343314401).

The spelling of 103100023313100 in words is "one hundred three trillion, one hundred billion, twenty-three million, three hundred thirteen thousand, one hundred".