10030013021000 has 256 divisors, whose sum is σ = 27561284674560. Its totient is φ = 3344314521600.

The previous prime is 10030013020957. The next prime is 10030013021011. The reversal of 10030013021000 is 12031003001.

It is a super-2 number, since 2×10030013021000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 619778909 + ... + 619795091.

It is an arithmetic number, because the mean of its divisors is an integer number (107661268260).

Almost surely, 2^{10030013021000} is an apocalyptic number.

10030013021000 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 10030013021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13780642337280).

10030013021000 is an abundant number, since it is smaller than the sum of its proper divisors (17531271653560).

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

10030013021000 is a wasteful number, since it uses less digits than its factorization.

10030013021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18641 (or 18627 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10030013021000 its reverse (12031003001), we get a palindrome (10042044024001).

The spelling of 10030013021000 in words is "ten trillion, thirty billion, thirteen million, twenty-one thousand".