1311034400141 has 16 divisors (see below), whose sum is σ = 1323171376128. Its totient is φ = 1298957678400.

The previous prime is 1311034400107. The next prime is 1311034400161. The reversal of 1311034400141 is 1410044301131.

It is a cyclic number.

It is not a de Polignac number, because 1311034400141 - 2⁶ = 1311034400077 is a prime.

It is a super-2 number, since 2×1311034400141² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311034400161) 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, 111752246 + ... + 111763976.

It is an arithmetic number, because the mean of its divisors is an integer number (82698211008).

Almost surely, 2^{1311034400141} is an apocalyptic number.

It is an amenable number.

1311034400141 is a deficient number, since it is larger than the sum of its proper divisors (12136975987).

1311034400141 is a wasteful number, since it uses less digits than its factorization.

1311034400141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14212.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1311034400141 its reverse (1410044301131), we get a palindrome (2721078701272).

The spelling of 1311034400141 in words is "one trillion, three hundred eleven billion, thirty-four million, four hundred thousand, one hundred forty-one".