13011133220010 has 96 divisors (see below), whose sum is σ = 34233847212240. Its totient is φ = 3428163763200.

The previous prime is 13011133219979. The next prime is 13011133220021. The reversal of 13011133220010 is 1002233111031.

13011133220010 is a `hidden beast` number, since 1 + 301 + 1 + 1 + 332 + 20 + 0 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2209084717401 + 10802048502609 = 1486299^2 + 3286647^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10473700 + ... + 11649920.

Almost surely, 2^{13011133220010} is an apocalyptic number.

13011133220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13011133220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17116923606120).

13011133220010 is an abundant number, since it is smaller than the sum of its proper divisors (21222713992230).

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

13011133220010 is a wasteful number, since it uses less digits than its factorization.

13011133220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177704 (or 1177701 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13011133220010 its reverse (1002233111031), we get a palindrome (14013366331041).

The spelling of 13011133220010 in words is "thirteen trillion, eleven billion, one hundred thirty-three million, two hundred twenty thousand, ten".