1311134042000 has 40 divisors (see below), whose sum is σ = 3170322118392. Its totient is φ = 524453616000.

The previous prime is 1311134041967. The next prime is 1311134042047. The reversal of 1311134042000 is 2404311131.

It can be written as a sum of positive squares in 4 ways, for example, as 280632943504 + 1030501098496 = 529748^2 + 1015136^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1311134042000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327781511 + ... + 327785510.

Almost surely, 2^{1311134042000} is an apocalyptic number.

1311134042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311134042000 is an abundant number, since it is smaller than the sum of its proper divisors (1859188076392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311134042000 is an equidigital number, since it uses as much as digits as its factorization.

1311134042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655567044 (or 655567028 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1311134042000 its reverse (2404311131), we get a palindrome (1313538353131).

The spelling of 1311134042000 in words is "one trillion, three hundred eleven billion, one hundred thirty-four million, forty-two thousand".