31121310133033 has 8 divisors (see below), whose sum is σ = 32195703861000. Its totient is φ = 30046999411968.

The previous prime is 31121310132977. The next prime is 31121310133097. The reversal of 31121310133033 is 33033101312113.

It can be written as a sum of positive squares in 4 ways, for example, as 10943578539664 + 20177731593369 = 3308108^2 + 4491963^2 .

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 31121310133033 - 2¹³ = 31121310124841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31121310132989 and 31121310133007.

It is not an unprimeable number, because it can be changed into a prime (31121310103033) 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, 19988458 + ... + 21489091.

It is an arithmetic number, because the mean of its divisors is an integer number (4024462982625).

Almost surely, 2^{31121310133033} is an apocalyptic number.

It is an amenable number.

31121310133033 is a deficient number, since it is larger than the sum of its proper divisors (1074393727967).

31121310133033 is a wasteful number, since it uses less digits than its factorization.

31121310133033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41503451.

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

Adding to 31121310133033 its reverse (33033101312113), we get a palindrome (64154411445146).

The spelling of 31121310133033 in words is "thirty-one trillion, one hundred twenty-one billion, three hundred ten million, one hundred thirty-three thousand, thirty-three".