1301311311201 has 24 divisors (see below), whose sum is σ = 2054660556000. Its totient is φ = 787092984000.

The previous prime is 1301311311197. The next prime is 1301311311257. The reversal of 1301311311201 is 1021131131031.

1301311311201 is a `hidden beast` number, since 1 + 301 + 31 + 1 + 311 + 20 + 1 = 666.

It is not a de Polignac number, because 1301311311201 - 2² = 1301311311197 is a prime.

It is a super-2 number, since 2×1301311311201² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1301311313201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13121500 + ... + 13220301.

It is an arithmetic number, because the mean of its divisors is an integer number (85610856500).

Almost surely, 2^{1301311311201} is an apocalyptic number.

1301311311201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1301311311201 is a deficient number, since it is larger than the sum of its proper divisors (753349244799).

1301311311201 is a wasteful number, since it uses less digits than its factorization.

1301311311201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26342317 (or 26342314 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1301311311201 its reverse (1021131131031), we get a palindrome (2322442442232).

The spelling of 1301311311201 in words is "one trillion, three hundred one billion, three hundred eleven million, three hundred eleven thousand, two hundred one".