1311630400101 has 48 divisors (see below), whose sum is σ = 2092136974080. Its totient is φ = 728272944000.

The previous prime is 1311630400099. The next prime is 1311630400117. The reversal of 1311630400101 is 1010040361131.

It is not a de Polignac number, because 1311630400101 - 2¹ = 1311630400099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311630400141) 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 47 ways as a sum of consecutive naturals, for example, 3924135 + ... + 4245243.

It is an arithmetic number, because the mean of its divisors is an integer number (43586186960).

Almost surely, 2^{1311630400101} is an apocalyptic number.

It is an amenable number.

1311630400101 is a deficient number, since it is larger than the sum of its proper divisors (780506573979).

1311630400101 is a wasteful number, since it uses less digits than its factorization.

1311630400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321914 (or 321907 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1311630400101 its reverse (1010040361131), we get a palindrome (2321670761232).

The spelling of 1311630400101 in words is "one trillion, three hundred eleven billion, six hundred thirty million, four hundred thousand, one hundred one".