2113323010400 has 144 divisors (see below), whose sum is σ = 5922614928384. Its totient is φ = 721318279680.

The previous prime is 2113323010333. The next prime is 2113323010481. The reversal of 2113323010400 is 40103233112.

It is a super-2 number, since 2×2113323010400² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402659 + ... + 2094941.

It is an arithmetic number, because the mean of its divisors is an integer number (41129270336).

Almost surely, 2^{2113323010400} is an apocalyptic number.

2113323010400 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 2113323010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961307464192).

2113323010400 is an abundant number, since it is smaller than the sum of its proper divisors (3809291917984).

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

2113323010400 is a wasteful number, since it uses less digits than its factorization.

2113323010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692533 (or 1692520 counting only the distinct ones).

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

Adding to 2113323010400 its reverse (40103233112), we get a palindrome (2153426243512).

The spelling of 2113323010400 in words is "two trillion, one hundred thirteen billion, three hundred twenty-three million, ten thousand, four hundred".