103132020101310 has 288 divisors, whose sum is σ = 288020563084800. Its totient is φ = 25554904379136.

The previous prime is 103132020101281. The next prime is 103132020101321. The reversal of 103132020101310 is 13101020231301.

103132020101310 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 320 + 20 + 10 + 1 + 310 = 666.

It is a super-2 number, since 2×103132020101310² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1822124391 + ... + 1822180989.

It is an arithmetic number, because the mean of its divisors is an integer number (1000071399600).

Almost surely, 2^{103132020101310} is an apocalyptic number.

103132020101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103132020101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144010281542400).

103132020101310 is an abundant number, since it is smaller than the sum of its proper divisors (184888542983490).

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

103132020101310 is a wasteful number, since it uses less digits than its factorization.

103132020101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57352 (or 57312 counting only the distinct ones).

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

Adding to 103132020101310 its reverse (13101020231301), we get a palindrome (116233040332611).

The spelling of 103132020101310 in words is "one hundred three trillion, one hundred thirty-two billion, twenty million, one hundred one thousand, three hundred ten".