1013121444104 has 128 divisors (see below), whose sum is σ = 2408138726400. Its totient is φ = 388094112000.

The previous prime is 1013121444103. The next prime is 1013121444107. The reversal of 1013121444104 is 4014441213101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1013121444103) 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, 140493059 + ... + 140500269.

It is an arithmetic number, because the mean of its divisors is an integer number (18813583800).

Almost surely, 2^{1013121444104} is an apocalyptic number.

1013121444104 is a gapful number since it is divisible by the number (14) 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 1013121444104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204069363200).

1013121444104 is an abundant number, since it is smaller than the sum of its proper divisors (1395017282296).

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

1013121444104 is a wasteful number, since it uses less digits than its factorization.

1013121444104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11035 (or 11031 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 1013121444104 its reverse (4014441213101), we get a palindrome (5027562657205).

The spelling of 1013121444104 in words is "one trillion, thirteen billion, one hundred twenty-one million, four hundred forty-four thousand, one hundred four".