1311630503456 has 96 divisors (see below), whose sum is σ = 3178699267968. Its totient is φ = 518802278400.

The previous prime is 1311630503423. The next prime is 1311630503471. The reversal of 1311630503456 is 6543050361131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19660556 + ... + 19727156.

It is an arithmetic number, because the mean of its divisors is an integer number (33111450708).

Almost surely, 2^{1311630503456} is an apocalyptic number.

1311630503456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311630503456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589349633984).

1311630503456 is an abundant number, since it is smaller than the sum of its proper divisors (1867068764512).

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

1311630503456 is a wasteful number, since it uses less digits than its factorization.

1311630503456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73394 (or 73386 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

Adding to 1311630503456 its reverse (6543050361131), we get a palindrome (7854680864587).

The spelling of 1311630503456 in words is "one trillion, three hundred eleven billion, six hundred thirty million, five hundred three thousand, four hundred fifty-six".