1011312900 has 324 divisors, whose sum is σ = 3520777260. Its totient is φ = 242611200.

The previous prime is 1011312889. The next prime is 1011312901. The reversal of 1011312900 is 92131101.

It can be written as a sum of positive squares in 18 ways, for example, as 1008570564 + 2742336 = 31758^2 + 1656^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011312901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9278046 + ... + 9278154.

Almost surely, 2^1011312900 is an apocalyptic number.

1011312900 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 1011312900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760388630).

1011312900 is an abundant number, since it is smaller than the sum of its proper divisors (2509464360).

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

1011312900 is a wasteful number, since it uses less digits than its factorization.

1011312900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 1011312900 is about 31801.1462057581. The cubic root of 1011312900 is about 1003.7568351817.

The spelling of 1011312900 in words is "one billion, eleven million, three hundred twelve thousand, nine hundred".