10013313303000 has 384 divisors, whose sum is σ = 38702416896000. Its totient is φ = 2287430841600.

The previous prime is 10013313302983. The next prime is 10013313303137. The reversal of 10013313303000 is 30331331001.

10013313303000 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 31 + 330 + 300 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110771821 + ... + 110862179.

It is an arithmetic number, because the mean of its divisors is an integer number (100787544000).

Almost surely, 2^{10013313303000} is an apocalyptic number.

10013313303000 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 10013313303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19351208448000).

10013313303000 is an abundant number, since it is smaller than the sum of its proper divisors (28689103593000).

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

10013313303000 is a wasteful number, since it uses less digits than its factorization.

10013313303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92152 (or 92135 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 10013313303000 its reverse (30331331001), we get a palindrome (10043644634001).

The spelling of 10013313303000 in words is "ten trillion, thirteen billion, three hundred thirteen million, three hundred three thousand".