103301031000100 has 36 divisors (see below), whose sum is σ = 237349310054724. Its totient is φ = 38889799905280.

The previous prime is 103301031000053. The next prime is 103301031000131. The reversal of 103301031000100 is 1000130103301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11505623296036 + 91795407704064 = 3391994^2 + 9580992^2 .

It is a super-2 number, since 2×103301031000100² (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 11 ways as a sum of consecutive naturals, for example, 30382654477 + ... + 30382657876.

It is an arithmetic number, because the mean of its divisors is an integer number (6593036390409).

Almost surely, 2^{103301031000100} is an apocalyptic number.

103301031000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103301031000100 is an abundant number, since it is smaller than the sum of its proper divisors (134048279054624).

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

103301031000100 is a wasteful number, since it uses less digits than its factorization.

103301031000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60765312384 (or 60765312377 counting only the distinct ones).

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

Adding to 103301031000100 its reverse (1000130103301), we get a palindrome (104301161103401).

The spelling of 103301031000100 in words is "one hundred three trillion, three hundred one billion, thirty-one million, one hundred", and thus it is an aban number.