103310132133120 has 576 divisors, whose sum is σ = 380615385120768. Its totient is φ = 23645822976000.

The previous prime is 103310132133101. The next prime is 103310132133127. The reversal of 103310132133120 is 21331231013301.

It is a super-2 number, since 2×103310132133120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103310132133127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52724889 + ... + 54649191.

It is an arithmetic number, because the mean of its divisors is an integer number (660790599168).

Almost surely, 2^{103310132133120} is an apocalyptic number.

103310132133120 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 103310132133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190307692560384).

103310132133120 is an abundant number, since it is smaller than the sum of its proper divisors (277305252987648).

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

103310132133120 is a wasteful number, since it uses less digits than its factorization.

103310132133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924410 (or 1924396 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 103310132133120 its reverse (21331231013301), we get a palindrome (124641363146421).

The spelling of 103310132133120 in words is "one hundred three trillion, three hundred ten billion, one hundred thirty-two million, one hundred thirty-three thousand, one hundred twenty".