1003133122200 has 384 divisors, whose sum is σ = 3781695456000. Its totient is φ = 242387251200.

The previous prime is 1003133122153. The next prime is 1003133122219. The reversal of 1003133122200 is 22213313001.

1003133122200 is a `hidden beast` number, since 100 + 31 + 3 + 312 + 220 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18208296 + ... + 18263304.

It is an arithmetic number, because the mean of its divisors is an integer number (9848165250).

Almost surely, 2^{1003133122200} is an apocalyptic number.

1003133122200 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 1003133122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890847728000).

1003133122200 is an abundant number, since it is smaller than the sum of its proper divisors (2778562333800).

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

1003133122200 is a wasteful number, since it uses less digits than its factorization.

1003133122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55352 (or 55337 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1003133122200 its reverse (22213313001), we get a palindrome (1025346435201).

The spelling of 1003133122200 in words is "one trillion, three billion, one hundred thirty-three million, one hundred twenty-two thousand, two hundred".