1313121331033 has 8 divisors (see below), whose sum is σ = 1313538856520. Its totient is φ = 1312703884800.

The previous prime is 1313121331021. The next prime is 1313121331043. The reversal of 1313121331033 is 3301331213131.

It can be written as a sum of positive squares in 4 ways, for example, as 155801510089 + 1157319820944 = 394717^2 + 1075788^2 .

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 1313121331033 - 2⁵ = 1313121331001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1313121330989 and 1313121331007.

It is not an unprimeable number, because it can be changed into a prime (1313121331043) 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, 52392841 + ... + 52417897.

It is an arithmetic number, because the mean of its divisors is an integer number (164192357065).

Almost surely, 2^{1313121331033} is an apocalyptic number.

It is an amenable number.

1313121331033 is a deficient number, since it is larger than the sum of its proper divisors (417525487).

1313121331033 is an equidigital number, since it uses as much as digits as its factorization.

1313121331033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39627.

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

Adding to 1313121331033 its reverse (3301331213131), we get a palindrome (4614452544164).

The spelling of 1313121331033 in words is "one trillion, three hundred thirteen billion, one hundred twenty-one million, three hundred thirty-one thousand, thirty-three".