11013312133213 has 8 divisors (see below), whose sum is σ = 12558165871608. Its totient is φ = 9568126377984.

The previous prime is 11013312133193. The next prime is 11013312133217. The reversal of 11013312133213 is 31233121331011.

It can be written as a sum of positive squares in 4 ways, for example, as 613319223609 + 10399992909604 = 783147^2 + 3224902^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11013312133213 - 2⁵ = 11013312133181 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 (11013312133217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24916995556 + ... + 24916995997.

It is an arithmetic number, because the mean of its divisors is an integer number (1569770733951).

Almost surely, 2^{11013312133213} is an apocalyptic number.

11013312133213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11013312133213 is a deficient number, since it is larger than the sum of its proper divisors (1544853738395).

11013312133213 is a wasteful number, since it uses less digits than its factorization.

11013312133213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49833991583.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 11013312133213 its reverse (31233121331011), we get a palindrome (42246433464224).

The spelling of 11013312133213 in words is "eleven trillion, thirteen billion, three hundred twelve million, one hundred thirty-three thousand, two hundred thirteen".