22013322013100 has 108 divisors (see below), whose sum is σ = 52516364518800. Its totient is φ = 8003313225600.

The previous prime is 22013322013091. The next prime is 22013322013169. The reversal of 22013322013100 is 131022331022.

It is a super-2 number, since 2×22013322013100² (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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64067561 + ... + 64410239.

Almost surely, 2^{22013322013100} is an apocalyptic number.

22013322013100 is a gapful number since it is divisible by the number (20) 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 22013322013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26258182259400).

22013322013100 is an abundant number, since it is smaller than the sum of its proper divisors (30503042505700).

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

22013322013100 is a wasteful number, since it uses less digits than its factorization.

22013322013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348024 (or 348006 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22013322013100 its reverse (131022331022), we get a palindrome (22144344344122).

The spelling of 22013322013100 in words is "twenty-two trillion, thirteen billion, three hundred twenty-two million, thirteen thousand, one hundred".