1311305156400 has 60 divisors (see below), whose sum is σ = 4200547521512. Its totient is φ = 349681374720.

The previous prime is 1311305156389. The next prime is 1311305156401. The reversal of 1311305156400 is 46515031131.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1311305156401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 546375949 + ... + 546378348.

Almost surely, 2^{1311305156400} is an apocalyptic number.

1311305156400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311305156400 is an abundant number, since it is smaller than the sum of its proper divisors (2889242365112).

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

1311305156400 is a wasteful number, since it uses less digits than its factorization.

1311305156400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092754318 (or 1092754307 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 1311305156400 in words is "one trillion, three hundred eleven billion, three hundred five million, one hundred fifty-six thousand, four hundred".