2113320144400 has 60 divisors (see below), whose sum is σ = 5090304082500. Its totient is φ = 843154915840.

The previous prime is 2113320144389. The next prime is 2113320144449. The reversal of 2113320144400 is 44410233112.

It can be written as a sum of positive squares in 6 ways, for example, as 651261912064 + 1462058232336 = 807008^2 + 1209156^2 .

It is a super-2 number, since 2×2113320144400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6635275 + ... + 6946474.

It is an arithmetic number, because the mean of its divisors is an integer number (84838401375).

Almost surely, 2^{2113320144400} is an apocalyptic number.

2113320144400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113320144400 is an abundant number, since it is smaller than the sum of its proper divisors (2976983938100).

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

2113320144400 is a wasteful number, since it uses less digits than its factorization.

2113320144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13582156 (or 13582145 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2113320144400 its reverse (44410233112), we get a palindrome (2157730377512).

The spelling of 2113320144400 in words is "two trillion, one hundred thirteen billion, three hundred twenty million, one hundred forty-four thousand, four hundred".