2113322204000 has 768 divisors, whose sum is σ = 6425621250048. Its totient is φ = 667699200000.

The previous prime is 2113322203973. The next prime is 2113322204027. The reversal of 2113322204000 is 4022233112.

It is an interprime number because it is at equal distance from previous prime (2113322203973) and next prime (2113322204027).

It is a super-4 number, since 4×2113322204000⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1530283310 + ... + 1530284690.

It is an arithmetic number, because the mean of its divisors is an integer number (8366694336).

Almost surely, 2^{2113322204000} is an apocalyptic number.

2113322204000 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 2113322204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212810625024).

2113322204000 is an abundant number, since it is smaller than the sum of its proper divisors (4312299046048).

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

2113322204000 is a wasteful number, since it uses less digits than its factorization.

2113322204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2113322204000 its reverse (4022233112), we get a palindrome (2117344437112).

The spelling of 2113322204000 in words is "two trillion, one hundred thirteen billion, three hundred twenty-two million, two hundred four thousand".