22013101513000 has 128 divisors (see below), whose sum is σ = 55669042840320. Its totient is φ = 8099192505600.

The previous prime is 22013101512977. The next prime is 22013101513003. The reversal of 22013101513000 is 31510131022.

It is not an unprimeable number, because it can be changed into a prime (22013101513003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687277 + ... + 6670723.

It is an arithmetic number, because the mean of its divisors is an integer number (434914397190).

Almost surely, 2^{22013101513000} is an apocalyptic number.

22013101513000 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 22013101513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27834521420160).

22013101513000 is an abundant number, since it is smaller than the sum of its proper divisors (33655941327320).

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

22013101513000 is a wasteful number, since it uses less digits than its factorization.

22013101513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5983764 (or 5983750 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 22013101513000 its reverse (31510131022), we get a palindrome (22044611644022).

The spelling of 22013101513000 in words is "twenty-two trillion, thirteen billion, one hundred one million, five hundred thirteen thousand".