103131010032320 has 224 divisors, whose sum is σ = 246892522988160. Its totient is φ = 41032925020160.

The previous prime is 103131010032311. The next prime is 103131010032397. The reversal of 103131010032320 is 23230010131301.

It is a super-4 number, since 4×103131010032320⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103131010032292 and 103131010032301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122921346461 + ... + 122921347299.

It is an arithmetic number, because the mean of its divisors is an integer number (1102198763340).

Almost surely, 2^{103131010032320} is an apocalyptic number.

103131010032320 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 103131010032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123446261494080).

103131010032320 is an abundant number, since it is smaller than the sum of its proper divisors (143761512955840).

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

103131010032320 is an equidigital number, since it uses as much as digits as its factorization.

103131010032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 103131010032320 its reverse (23230010131301), we get a palindrome (126361020163621).

The spelling of 103131010032320 in words is "one hundred three trillion, one hundred thirty-one billion, ten million, thirty-two thousand, three hundred twenty".