1314659264100 has 648 divisors, whose sum is σ = 4908557894688. Its totient is φ = 270592358400.

The previous prime is 1314659264081. The next prime is 1314659264167. The reversal of 1314659264100 is 14629564131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 215 ways as a sum of consecutive naturals, for example, 101849847 + ... + 101862753.

Almost surely, 2^{1314659264100} is an apocalyptic number.

1314659264100 is a gapful number since it is divisible by the number (10) 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 1314659264100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454278947344).

1314659264100 is an abundant number, since it is smaller than the sum of its proper divisors (3593898630588).

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

1314659264100 is a wasteful number, since it uses less digits than its factorization.

1314659264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13005 (or 12978 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 1314659264100 in words is "one trillion, three hundred fourteen billion, six hundred fifty-nine million, two hundred sixty-four thousand, one hundred".