1309948920900 has 351 divisors, whose sum is σ = 4291212525159. Its totient is φ = 347094745920.

The previous prime is 1309948920887. The next prime is 1309948920911. The reversal of 1309948920900 is 90298499031.

The square root of 1309948920900 is 1144530.

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

1309948920900 is a `hidden beast` number, since 130 + 9 + 9 + 489 + 20 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 158431065156 + 1151517855744 = 398034^2 + 1073088^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 8343623622 + ... + 8343623778.

Almost surely, 2^{1309948920900} is an apocalyptic number.

1309948920900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1309948920900 is the 1144530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1309948920900

1309948920900 is an abundant number, since it is smaller than the sum of its proper divisors (2981263604259).

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

1309948920900 is an frugal number, since it uses more digits than its factorization.

1309948920900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 1309948920900 in words is "one trillion, three hundred nine billion, nine hundred forty-eight million, nine hundred twenty thousand, nine hundred".