1316964100 has 81 divisors (see below), whose sum is σ = 3032013621. Its totient is φ = 496447200.

The previous prime is 1316964097. The next prime is 1316964151. The reversal of 1316964100 is 14696131.

The square root of 1316964100 is 36290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 474107076 + 842857024 = 21774^2 + 29032^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6895005 + ... + 6895195.

Almost surely, 2^1316964100 is an apocalyptic number.

1316964100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1316964100 is the 36290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316964100

1316964100 is an abundant number, since it is smaller than the sum of its proper divisors (1715049521).

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

1316964100 is a wasteful number, since it uses less digits than its factorization.

1316964100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The cubic root of 1316964100 is about 1096.1196889641.

The spelling of 1316964100 in words is "one billion, three hundred sixteen million, nine hundred sixty-four thousand, one hundred".