13033023010100 has 72 divisors (see below), whose sum is σ = 29214700972800. Its totient is φ = 5041458892800.

The previous prime is 13033023010097. The next prime is 13033023010129. The reversal of 13033023010100 is 101032033031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2875991 + ... + 5859809.

Almost surely, 2^{13033023010100} is an apocalyptic number.

13033023010100 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 13033023010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14607350486400).

13033023010100 is an abundant number, since it is smaller than the sum of its proper divisors (16181677962700).

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

13033023010100 is a wasteful number, since it uses less digits than its factorization.

13033023010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985273 (or 2985266 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13033023010100 its reverse (101032033031), we get a palindrome (13134055043131).

The spelling of 13033023010100 in words is "thirteen trillion, thirty-three billion, twenty-three million, ten thousand, one hundred".