103013300312100 has 108 divisors (see below), whose sum is σ = 328981721111316. Its totient is φ = 26951907490560.

The previous prime is 103013300312093. The next prime is 103013300312129. The reversal of 103013300312100 is 1213003310301.

It is a happy number.

103013300312100 is a `hidden beast` number, since 1 + 0 + 30 + 13 + 300 + 312 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5749838085924 + 97263462226176 = 2397882^2 + 9862224^2 .

It is a super-2 number, since 2×103013300312100² (a number of 29 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 1079756287 + ... + 1079851686.

It is an arithmetic number, because the mean of its divisors is an integer number (3046127047327).

Almost surely, 2^{103013300312100} is an apocalyptic number.

103013300312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103013300312100 is an abundant number, since it is smaller than the sum of its proper divisors (225968420799216).

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

103013300312100 is a wasteful number, since it uses less digits than its factorization.

103013300312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159608046 (or 2159608036 counting only the distinct ones).

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

Adding to 103013300312100 its reverse (1213003310301), we get a palindrome (104226303622401).

The spelling of 103013300312100 in words is "one hundred three trillion, thirteen billion, three hundred million, three hundred twelve thousand, one hundred".