1301311121 has 32 divisors (see below), whose sum is σ = 1587496320. Its totient is φ = 1051315200.

The previous prime is 1301311117. The next prime is 1301311153. The reversal of 1301311121 is 1211131031.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1301311121 - 2² = 1301311117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1301311096 and 1301311105.

It is not an unprimeable number, because it can be changed into a prime (1301310121) 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, 1921835 + ... + 1922511.

It is an arithmetic number, because the mean of its divisors is an integer number (49609260).

Almost surely, 2^1301311121 is an apocalyptic number.

1301311121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1301311121 is a deficient number, since it is larger than the sum of its proper divisors (286185199).

1301311121 is a wasteful number, since it uses less digits than its factorization.

1301311121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 1301311121 is about 36073.6901494704. The cubic root of 1301311121 is about 1091.7596695571.

Adding to 1301311121 its reverse (1211131031), we get a palindrome (2512442152).

The spelling of 1301311121 in words is "one billion, three hundred one million, three hundred eleven thousand, one hundred twenty-one".