1013400213121 has 8 divisors (see below), whose sum is σ = 1026869184000. Its totient is φ = 999947270400.

The previous prime is 1013400213109. The next prime is 1013400213139. The reversal of 1013400213121 is 1213120043101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1013400213121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013400213101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3879721 + ... + 4132678.

It is an arithmetic number, because the mean of its divisors is an integer number (128358648000).

Almost surely, 2^{1013400213121} is an apocalyptic number.

It is an amenable number.

1013400213121 is a deficient number, since it is larger than the sum of its proper divisors (13468970879).

1013400213121 is an equidigital number, since it uses as much as digits as its factorization.

1013400213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8014079.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1013400213121 its reverse (1213120043101), we get a palindrome (2226520256222).

The spelling of 1013400213121 in words is "one trillion, thirteen billion, four hundred million, two hundred thirteen thousand, one hundred twenty-one".