103011312310020 has 60 divisors (see below), whose sum is σ = 323150301955404. Its totient is φ = 27469683282240.

The previous prime is 103011312309883. The next prime is 103011312310033. The reversal of 103011312310020 is 20013213110301.

103011312310020 is a `hidden beast` number, since 1 + 0 + 30 + 11 + 312 + 310 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45233587750464 + 57777724559556 = 6725592^2 + 7601166^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×103011312310020² (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 a junction number, because it is equal to n+sod(n) for n = 103011312309975 and 103011312310002.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31793613291 + ... + 31793616530.

Almost surely, 2^{103011312310020} is an apocalyptic number.

103011312310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103011312310020 is an abundant number, since it is smaller than the sum of its proper divisors (220138989645384).

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

103011312310020 is a wasteful number, since it uses less digits than its factorization.

103011312310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63587229842 (or 63587229831 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103011312310020 its reverse (20013213110301), we get a palindrome (123024525420321).

The spelling of 103011312310020 in words is "one hundred three trillion, eleven billion, three hundred twelve million, three hundred ten thousand, twenty".