1312993800 has 120 divisors (see below), whose sum is σ = 4560278250. Its totient is φ = 350127360.

The previous prime is 1312993769. The next prime is 1312993807. The reversal of 1312993800 is 83992131.

It can be written as a sum of positive squares in 3 ways, for example, as 689692644 + 623301156 = 26262^2 + 24966^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (1312993807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 24325 + ... + 56724.

Almost surely, 2^1312993800 is an apocalyptic number.

1312993800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312993800 is an abundant number, since it is smaller than the sum of its proper divisors (3247284450).

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

1312993800 is a wasteful number, since it uses less digits than its factorization.

1312993800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81077 (or 81059 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1312993800 is about 36235.2563120506. The cubic root of 1312993800 is about 1095.0170761083.

It can be divided in two parts, 13129 and 93800, that added together give a square (106929 = 327²).

The spelling of 1312993800 in words is "one billion, three hundred twelve million, nine hundred ninety-three thousand, eight hundred".