10013022002000 has 80 divisors (see below), whose sum is σ = 25485776097600. Its totient is φ = 3794408323200.

The previous prime is 10013022001991. The next prime is 10013022002021. The reversal of 10013022002000 is 20022031001.

It is a happy number.

10013022002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10013022002000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131712290 + ... + 131788289.

It is an arithmetic number, because the mean of its divisors is an integer number (318572201220).

Almost surely, 2^{10013022002000} is an apocalyptic number.

10013022002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013022002000 is an abundant number, since it is smaller than the sum of its proper divisors (15472754095600).

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

10013022002000 is a wasteful number, since it uses less digits than its factorization.

10013022002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263500621 (or 263500605 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10013022002000 its reverse (20022031001), we get a palindrome (10033044033001).

The spelling of 10013022002000 in words is "ten trillion, thirteen billion, twenty-two million, two thousand".