1311034400221 has 16 divisors (see below), whose sum is σ = 1620627030400. Its totient is φ = 1032772223808.

The previous prime is 1311034400197. The next prime is 1311034400233. The reversal of 1311034400221 is 1220044301131.

It is not a de Polignac number, because 1311034400221 - 2¹⁹ = 1311033875933 is a prime.

It is a super-2 number, since 2×1311034400221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311034400192 and 1311034400201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311034400261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31435431 + ... + 31477108.

It is an arithmetic number, because the mean of its divisors is an integer number (101289189400).

Almost surely, 2^{1311034400221} is an apocalyptic number.

It is an amenable number.

1311034400221 is a deficient number, since it is larger than the sum of its proper divisors (309592630179).

1311034400221 is a wasteful number, since it uses less digits than its factorization.

1311034400221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62912788.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1311034400221 its reverse (1220044301131), we get a palindrome (2531078701352).

The spelling of 1311034400221 in words is "one trillion, three hundred eleven billion, thirty-four million, four hundred thousand, two hundred twenty-one".