10013313020310 has 192 divisors, whose sum is σ = 26872796321280. Its totient is φ = 2584988743680.

The previous prime is 10013313020219. The next prime is 10013313020311. The reversal of 10013313020310 is 1302031331001.

It is a happy number.

10013313020310 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 331 + 3 + 0 + 20 + 310 = 666.

It is a super-2 number, since 2×10013313020310² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013313020311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2620598200 + ... + 2620602020.

It is an arithmetic number, because the mean of its divisors is an integer number (139962480840).

Almost surely, 2^{10013313020310} is an apocalyptic number.

10013313020310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013313020310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13436398160640).

10013313020310 is an abundant number, since it is smaller than the sum of its proper divisors (16859483300970).

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

10013313020310 is a wasteful number, since it uses less digits than its factorization.

10013313020310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7623 (or 7620 counting only the distinct ones).

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

Adding to 10013313020310 its reverse (1302031331001), we get a palindrome (11315344351311).

The spelling of 10013313020310 in words is "ten trillion, thirteen billion, three hundred thirteen million, twenty thousand, three hundred ten".