100311300001300 has 72 divisors (see below), whose sum is σ = 217817898512256. Its totient is φ = 40098282188160.

The previous prime is 100311300001229. The next prime is 100311300001369. The reversal of 100311300001300 is 3100003113001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1288266169 + ... + 1288344031.

It is an arithmetic number, because the mean of its divisors is an integer number (3025248590448).

Almost surely, 2^{100311300001300} is an apocalyptic number.

100311300001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100311300001300 is an abundant number, since it is smaller than the sum of its proper divisors (117506598510956).

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

100311300001300 is a wasteful number, since it uses less digits than its factorization.

100311300001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86137 (or 86130 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 100311300001300 its reverse (3100003113001), we get a palindrome (103411303114301).

The spelling of 100311300001300 in words is "one hundred trillion, three hundred eleven billion, three hundred million, one thousand, three hundred".