103131210330120 has 256 divisors, whose sum is σ = 356180195289600. Its totient is φ = 23400967127040.

The previous prime is 103131210330097. The next prime is 103131210330199. The reversal of 103131210330120 is 21033012131301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63369946 + ... + 64977014.

It is an arithmetic number, because the mean of its divisors is an integer number (1391328887850).

Almost surely, 2^{103131210330120} is an apocalyptic number.

103131210330120 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 103131210330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178090097644800).

103131210330120 is an abundant number, since it is smaller than the sum of its proper divisors (253048984959480).

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

103131210330120 is a wasteful number, since it uses less digits than its factorization.

103131210330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607648 (or 1607644 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 103131210330120 its reverse (21033012131301), we get a palindrome (124164222461421).

The spelling of 103131210330120 in words is "one hundred three trillion, one hundred thirty-one billion, two hundred ten million, three hundred thirty thousand, one hundred twenty".