10313210003120 has 160 divisors (see below), whose sum is σ = 25540224696000. Its totient is φ = 3861768683520.

The previous prime is 10313210002981. The next prime is 10313210003123. The reversal of 10313210003120 is 2130001231301.

It is not an unprimeable number, because it can be changed into a prime (10313210003123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217641830 + ... + 217689210.

It is an arithmetic number, because the mean of its divisors is an integer number (159626404350).

Almost surely, 2^{10313210003120} is an apocalyptic number.

10313210003120 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 10313210003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12770112348000).

10313210003120 is an abundant number, since it is smaller than the sum of its proper divisors (15227014692880).

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

10313210003120 is a wasteful number, since it uses less digits than its factorization.

10313210003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49111 (or 49105 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10313210003120 its reverse (2130001231301), we get a palindrome (12443211234421).

The spelling of 10313210003120 in words is "ten trillion, three hundred thirteen billion, two hundred ten million, three thousand, one hundred twenty".