33313132013 has 6 divisors (see below), whose sum is σ = 38752010766. Its totient is φ = 28554113112.

The previous prime is 33313131977. The next prime is 33313132037. The reversal of 33313132013 is 31023131333.

It can be written as a sum of positive squares in only one way, i.e., 30708356644 + 2604775369 = 175238^2 + 51037^2 .

It is not a de Polignac number, because 33313132013 - 2¹⁰ = 33313130989 is a prime.

It is a super-2 number, since 2×33313132013² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33313132013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33313132613) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 339929870 + ... + 339929967.

It is an arithmetic number, because the mean of its divisors is an integer number (6458668461).

Almost surely, 2^33313132013 is an apocalyptic number.

It is an amenable number.

33313132013 is a deficient number, since it is larger than the sum of its proper divisors (5438878753).

33313132013 is an equidigital number, since it uses as much as digits as its factorization.

33313132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679859851 (or 679859844 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 33313132013 its reverse (31023131333), we get a palindrome (64336263346).

It can be divided in two parts, 333131320 and 13, that added together give a palindrome (333131333).

The spelling of 33313132013 in words is "thirty-three billion, three hundred thirteen million, one hundred thirty-two thousand, thirteen".