1003132211333 has 32 divisors (see below), whose sum is σ = 1234330804224. Its totient is φ = 796646011392.

The previous prime is 1003132211317. The next prime is 1003132211339. The reversal of 1003132211333 is 3331122313001.

1003132211333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1003132211333 - 2⁴ = 1003132211317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 1003132211299 and 1003132211308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003132211339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50666 + ... + 1417332.

It is an arithmetic number, because the mean of its divisors is an integer number (38572837632).

Almost surely, 2^{1003132211333} is an apocalyptic number.

It is an amenable number.

1003132211333 is a deficient number, since it is larger than the sum of its proper divisors (231198592891).

1003132211333 is a wasteful number, since it uses less digits than its factorization.

1003132211333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366841.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1003132211333 its reverse (3331122313001), we get a palindrome (4334254524334).

The spelling of 1003132211333 in words is "one trillion, three billion, one hundred thirty-two million, two hundred eleven thousand, three hundred thirty-three".