10000013310 has 384 divisors, whose sum is σ = 32699796480. Its totient is φ = 2069286912.

The previous prime is 10000013239. The next prime is 10000013321. The reversal of 10000013310 is 1331000001.

10000013310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10000013310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000013292 and 10000013301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29673462 + ... + 29673798.

It is an arithmetic number, because the mean of its divisors is an integer number (85155720).

Almost surely, 2^10000013310 is an apocalyptic number.

10000013310 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 10000013310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16349898240).

10000013310 is an abundant number, since it is smaller than the sum of its proper divisors (22699783170).

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

10000013310 is a wasteful number, since it uses less digits than its factorization.

10000013310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10000013310 its reverse (1331000001), we get a palindrome (11331013311).

It can be divided in two parts, 100000 and 13310, that multiplied together give a cube (1331000000 = 1100³).

The spelling of 10000013310 in words is "ten billion, thirteen thousand, three hundred ten".