1283813100 has 108 divisors (see below), whose sum is σ = 4055131080. Its totient is φ = 339705600.

The previous prime is 1283813077. The next prime is 1283813119. The reversal of 1283813100 is 13183821.

1283813100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1283813100² = 3296352151463220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112456 + ... + 123344.

It is an arithmetic number, because the mean of its divisors is an integer number (37547510).

Almost surely, 2^1283813100 is an apocalyptic number.

1283813100 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 1283813100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027565540).

1283813100 is an abundant number, since it is smaller than the sum of its proper divisors (2771317980).

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

1283813100 is a wasteful number, since it uses less digits than its factorization.

1283813100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11040 (or 11030 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1283813100 is about 35830.3377042416. The cubic root of 1283813100 is about 1086.8441388203.

Adding to 1283813100 its reverse (13183821), we get a palindrome (1296996921).

The spelling of 1283813100 in words is "one billion, two hundred eighty-three million, eight hundred thirteen thousand, one hundred".