103130103001320 has 384 divisors, whose sum is σ = 342304404624000. Its totient is φ = 26920302704640.

The previous prime is 103130103001271. The next prime is 103130103001357. The reversal of 103130103001320 is 23100301031301.

It is a happy number.

103130103001320 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 30 + 10 + 300 + 1 + 320 = 666.

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 = 103130103001293 and 103130103001302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10949151571 + ... + 10949160989.

It is an arithmetic number, because the mean of its divisors is an integer number (891417720375).

Almost surely, 2^{103130103001320} is an apocalyptic number.

103130103001320 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 103130103001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171152202312000).

103130103001320 is an abundant number, since it is smaller than the sum of its proper divisors (239174301622680).

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

103130103001320 is a wasteful number, since it uses less digits than its factorization.

103130103001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11633 (or 11626 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103130103001320 its reverse (23100301031301), we get a palindrome (126230404032621).

The spelling of 103130103001320 in words is "one hundred three trillion, one hundred thirty billion, one hundred three million, one thousand, three hundred twenty".