13033102331000 has 128 divisors (see below), whose sum is σ = 30745075046400. Its totient is φ = 5170933555200.

The previous prime is 13033102330999. The next prime is 13033102331033. The reversal of 13033102331000 is 13320133031.

It is a super-2 number, since 2×13033102331000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 658993112 + ... + 659012888.

It is an arithmetic number, because the mean of its divisors is an integer number (240195898800).

Almost surely, 2^{13033102331000} is an apocalyptic number.

13033102331000 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 13033102331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15372537523200).

13033102331000 is an abundant number, since it is smaller than the sum of its proper divisors (17711972715400).

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

13033102331000 is a wasteful number, since it uses less digits than its factorization.

13033102331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25114 (or 25100 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13033102331000 its reverse (13320133031), we get a palindrome (13046422464031).

The spelling of 13033102331000 in words is "thirteen trillion, thirty-three billion, one hundred two million, three hundred thirty-one thousand".