1333133101213 has 48 divisors (see below), whose sum is σ = 1475865410544. Its totient is φ = 1199257313280.

The previous prime is 1333133101207. The next prime is 1333133101241. The reversal of 1333133101213 is 3121013313331.

It can be written as a sum of positive squares in 8 ways, for example, as 6079788729 + 1327053312484 = 77973^2 + 1151978^2 .

It is not a de Polignac number, because 1333133101213 - 2³³ = 1324543166621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333133101253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595945731 + ... + 595947967.

It is an arithmetic number, because the mean of its divisors is an integer number (30747196053).

Almost surely, 2^{1333133101213} is an apocalyptic number.

It is an amenable number.

1333133101213 is a deficient number, since it is larger than the sum of its proper divisors (142732309331).

1333133101213 is a wasteful number, since it uses less digits than its factorization.

1333133101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 1333133101213 its reverse (3121013313331), we get a palindrome (4454146414544).

The spelling of 1333133101213 in words is "one trillion, three hundred thirty-three billion, one hundred thirty-three million, one hundred one thousand, two hundred thirteen".