10002113323000 has 128 divisors (see below), whose sum is σ = 24974278056000. Its totient is φ = 3738352435200.

The previous prime is 10002113322997. The next prime is 10002113323079. The reversal of 10002113323000 is 32331120001.

It is a super-2 number, since 2×10002113323000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2218665 + ... + 4992664.

Almost surely, 2^{10002113323000} is an apocalyptic number.

10002113323000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002113323000 is an abundant number, since it is smaller than the sum of its proper divisors (14972164733000).

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

10002113323000 is a wasteful number, since it uses less digits than its factorization.

10002113323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7211442 (or 7211428 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10002113323000 its reverse (32331120001), we get a palindrome (10034444443001).

The spelling of 10002113323000 in words is "ten trillion, two billion, one hundred thirteen million, three hundred twenty-three thousand".