33312313113313 has 8 divisors (see below), whose sum is σ = 36087075655400. Its totient is φ = 30749827487184.

The previous prime is 33312313113311. The next prime is 33312313113371. The reversal of 33312313113313 is 31331131321333.

It can be written as a sum of positive squares in 4 ways, for example, as 7401484801489 + 25910828311824 = 2720567^2 + 5090268^2 .

It is not a de Polignac number, because 33312313113313 - 2¹ = 33312313113311 is a prime.

It is a super-2 number, since 2×33312313113313² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33312313113311) 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, 7581316218 + ... + 7581320611.

It is an arithmetic number, because the mean of its divisors is an integer number (4510884456925).

Almost surely, 2^{33312313113313} is an apocalyptic number.

It is an amenable number.

33312313113313 is a deficient number, since it is larger than the sum of its proper divisors (2774762542087).

33312313113313 is an equidigital number, since it uses as much as digits as its factorization.

33312313113313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15162636868 (or 15162636842 counting only the distinct ones).

The product of its digits is 13122, while the sum is 31.

Adding to 33312313113313 its reverse (31331131321333), we get a palindrome (64643444434646).

The spelling of 33312313113313 in words is "thirty-three trillion, three hundred twelve billion, three hundred thirteen million, one hundred thirteen thousand, three hundred thirteen".