22301313011000 has 128 divisors (see below), whose sum is σ = 52356695751360. Its totient is φ = 8891205120000.

The previous prime is 22301313010967. The next prime is 22301313011027. The reversal of 22301313011000 is 11031310322.

It is a super-2 number, since 2×22301313011000² (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 22301313011000.

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, 1281602300 + ... + 1281619700.

Almost surely, 2^{22301313011000} is an apocalyptic number.

22301313011000 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 22301313011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26178347875680).

22301313011000 is an abundant number, since it is smaller than the sum of its proper divisors (30055382740360).

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

22301313011000 is a wasteful number, since it uses less digits than its factorization.

22301313011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21562 (or 21548 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 22301313011000 its reverse (11031310322), we get a palindrome (22312344321322).

The spelling of 22301313011000 in words is "twenty-two trillion, three hundred one billion, three hundred thirteen million, eleven thousand".