13001033021000 has 64 divisors (see below), whose sum is σ = 30512692295280. Its totient is φ = 5184981580800.

The previous prime is 13001033020951. The next prime is 13001033021023. The reversal of 13001033021000 is 12033010031.

13001033021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 299806622116 + 12701226398884 = 547546^2 + 3563878^2 .

It is a super-2 number, since 2×13001033021000² (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 15 ways as a sum of consecutive naturals, for example, 18952367 + ... + 19626366.

Almost surely, 2^{13001033021000} is an apocalyptic number.

13001033021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001033021000 is an abundant number, since it is smaller than the sum of its proper divisors (17511659274280).

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

13001033021000 is a wasteful number, since it uses less digits than its factorization.

13001033021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38579091 (or 38579077 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13001033021000 its reverse (12033010031), we get a palindrome (13013066031031).

The spelling of 13001033021000 in words is "thirteen trillion, one billion, thirty-three million, twenty-one thousand".