1003212132133 has 16 divisors (see below), whose sum is σ = 1040123177280. Its totient is φ = 966819684096.

The previous prime is 1003212132079. The next prime is 1003212132157. The reversal of 1003212132133 is 3312312123001.

It is a cyclic number.

It is not a de Polignac number, because 1003212132133 - 2²⁹ = 1002675261221 is a prime.

It is a super-2 number, since 2×1003212132133² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003212132233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30083613 + ... + 30116941.

It is an arithmetic number, because the mean of its divisors is an integer number (65007698580).

Almost surely, 2^{1003212132133} is an apocalyptic number.

It is an amenable number.

1003212132133 is a deficient number, since it is larger than the sum of its proper divisors (36911045147).

1003212132133 is a wasteful number, since it uses less digits than its factorization.

1003212132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41076.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1003212132133 its reverse (3312312123001), we get a palindrome (4315524255134).

The spelling of 1003212132133 in words is "one trillion, three billion, two hundred twelve million, one hundred thirty-two thousand, one hundred thirty-three".