103310133133100 has 72 divisors (see below), whose sum is σ = 232300608372000. Its totient is φ = 39832475737600.

The previous prime is 103310133133093. The next prime is 103310133133127. The reversal of 103310133133100 is 1331331013301.

It is a super-2 number, since 2×103310133133100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27999281 + ... + 31473480.

It is an arithmetic number, because the mean of its divisors is an integer number (3226397338500).

Almost surely, 2^{103310133133100} is an apocalyptic number.

103310133133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103310133133100 is an abundant number, since it is smaller than the sum of its proper divisors (128990475238900).

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

103310133133100 is a wasteful number, since it uses less digits than its factorization.

103310133133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59473403 (or 59473396 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 103310133133100 its reverse (1331331013301), we get a palindrome (104641464146401).

The spelling of 103310133133100 in words is "one hundred three trillion, three hundred ten billion, one hundred thirty-three million, one hundred thirty-three thousand, one hundred".