1283137100 has 144 divisors (see below), whose sum is σ = 3272290560. Its totient is φ = 427680000.

The previous prime is 1283137081. The next prime is 1283137129. The reversal of 1283137100 is 17313821.

It is a self number, because there is not a number n which added to its sum of digits gives 1283137100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5111975 + ... + 5112225.

It is an arithmetic number, because the mean of its divisors is an integer number (22724240).

Almost surely, 2^1283137100 is an apocalyptic number.

1283137100 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 1283137100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636145280).

1283137100 is an abundant number, since it is smaller than the sum of its proper divisors (1989153460).

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

1283137100 is a wasteful number, since it uses less digits than its factorization.

1283137100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1283137100 is about 35820.9031153599. The cubic root of 1283137100 is about 1086.6533437504.

The spelling of 1283137100 in words is "one billion, two hundred eighty-three million, one hundred thirty-seven thousand, one hundred".