1233313100 has 72 divisors (see below), whose sum is σ = 2776749360. Its totient is φ = 475130880.

The previous prime is 1233313079. The next prime is 1233313111. The reversal of 1233313100 is 13133321.

It is a super-2 number, since 2×1233313100² = 3042122405263220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311936 + ... + 315864.

Almost surely, 2^1233313100 is an apocalyptic number.

1233313100 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 1233313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388374680).

1233313100 is an abundant number, since it is smaller than the sum of its proper divisors (1543436260).

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

1233313100 is a wasteful number, since it uses less digits than its factorization.

1233313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1233313100 is about 35118.5577722093. The cubic root of 1233313100 is about 1072.4024105088.

Adding to 1233313100 its reverse (13133321), we get a palindrome (1246446421).

The spelling of 1233313100 in words is "one billion, two hundred thirty-three million, three hundred thirteen thousand, one hundred".