1013221123200 has 1152 divisors, whose sum is σ = 4265717601600. Its totient is φ = 225762508800.

The previous prime is 1013221123181. The next prime is 1013221123237. The reversal of 1013221123200 is 23211223101.

1013221123200 is a `hidden beast` number, since 1 + 0 + 132 + 211 + 2 + 320 + 0 = 666.

1013221123200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1429084446 + ... + 1429085154.

Almost surely, 2^{1013221123200} is an apocalyptic number.

1013221123200 is a gapful number since it is divisible by the number (10) 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 1013221123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132858800800).

1013221123200 is an abundant number, since it is smaller than the sum of its proper divisors (3252496478400).

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

1013221123200 is a wasteful number, since it uses less digits than its factorization.

1013221123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1013221123200 its reverse (23211223101), we get a palindrome (1036432346301).

Subtracting from 1013221123200 its reverse (23211223101), we obtain a palindrome (990009900099).

The spelling of 1013221123200 in words is "one trillion, thirteen billion, two hundred twenty-one million, one hundred twenty-three thousand, two hundred".