13011133031000 has 128 divisors (see below), whose sum is σ = 32909053282560. Its totient is φ = 4786382016000.

The previous prime is 13011133030991. The next prime is 13011133031041. The reversal of 13011133031000 is 13033111031.

It is a super-2 number, since 2×13011133031000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13011133031000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1676402 + ... + 5369598.

It is an arithmetic number, because the mean of its divisors is an integer number (257101978770).

Almost surely, 2^{13011133031000} is an apocalyptic number.

13011133031000 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 13011133031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16454526641280).

13011133031000 is an abundant number, since it is smaller than the sum of its proper divisors (19897920251560).

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

13011133031000 is a wasteful number, since it uses less digits than its factorization.

13011133031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693502 (or 3693488 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 13011133031000 its reverse (13033111031), we get a palindrome (13024166142031).

The spelling of 13011133031000 in words is "thirteen trillion, eleven billion, one hundred thirty-three million, thirty-one thousand".