103140031320 has 320 divisors, whose sum is σ = 358315151040. Its totient is φ = 26591846400.

The previous prime is 103140031307. The next prime is 103140031381. The reversal of 103140031320 is 23130041301.

103140031320 is a `hidden beast` number, since 1 + 0 + 314 + 0 + 0 + 31 + 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 = 103140031293 and 103140031302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15007485 + ... + 15014355.

It is an arithmetic number, because the mean of its divisors is an integer number (1119734847).

Almost surely, 2^103140031320 is an apocalyptic number.

103140031320 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 103140031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179157575520).

103140031320 is an abundant number, since it is smaller than the sum of its proper divisors (255175119720).

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

103140031320 is a wasteful number, since it uses less digits than its factorization.

103140031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7048 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103140031320 its reverse (23130041301), we get a palindrome (126270072621).

The spelling of 103140031320 in words is "one hundred three billion, one hundred forty million, thirty-one thousand, three hundred twenty".