1013400121 has 6 divisors (see below), whose sum is σ = 1032884510. Its totient is φ = 994276608.

The previous prime is 1013400083. The next prime is 1013400127. The reversal of 1013400121 is 1210043101.

1013400121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 286828096 + 726572025 = 16936^2 + 26955^2 .

It is not a de Polignac number, because 1013400121 - 2⁹ = 1013399609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013400127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 177576 + ... + 183193.

Almost surely, 2^1013400121 is an apocalyptic number.

It is an amenable number.

1013400121 is a deficient number, since it is larger than the sum of its proper divisors (19484389).

1013400121 is an frugal number, since it uses more digits than its factorization.

1013400121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360875 (or 360822 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1013400121 is about 31833.9460482046. The cubic root of 1013400121 is about 1004.4469027436.

Adding to 1013400121 its reverse (1210043101), we get a palindrome (2223443222).

The spelling of 1013400121 in words is "one billion, thirteen million, four hundred thousand, one hundred twenty-one".