103132023101280 has 576 divisors, whose sum is σ = 365617933664256. Its totient is φ = 26444496384000.

The previous prime is 103132023101153. The next prime is 103132023101287. The reversal of 103132023101280 is 82101320231301.

103132023101280 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 320 + 2 + 310 + 1 + 28 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103132023101287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10431068497 + ... + 10431078383.

It is an arithmetic number, because the mean of its divisors is an integer number (634753357056).

Almost surely, 2^{103132023101280} is an apocalyptic number.

103132023101280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103132023101280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182808966832128).

103132023101280 is an abundant number, since it is smaller than the sum of its proper divisors (262485910562976).

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

103132023101280 is a wasteful number, since it uses less digits than its factorization.

103132023101280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11411 (or 11400 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 103132023101280 its reverse (82101320231301), we get a palindrome (185233343332581).

The spelling of 103132023101280 in words is "one hundred three trillion, one hundred thirty-two billion, twenty-three million, one hundred one thousand, two hundred eighty".