201330133313031 has 48 divisors (see below), whose sum is σ = 307445658624000. Its totient is φ = 126604258623360.

The previous prime is 201330133313011. The next prime is 201330133313119. The reversal of 201330133313031 is 130313331033102.

201330133313031 is a `hidden beast` number, since 2 + 0 + 1 + 330 + 13 + 3 + 313 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 201330133313031 - 2⁵ = 201330133312999 is a prime.

It is a super-2 number, since 2×201330133313031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201330133312986 and 201330133313004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201330133313011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59819260 + ... + 63095198.

It is an arithmetic number, because the mean of its divisors is an integer number (6405117888000).

Almost surely, 2^{201330133313031} is an apocalyptic number.

201330133313031 is a deficient number, since it is larger than the sum of its proper divisors (106115525310969).

201330133313031 is a wasteful number, since it uses less digits than its factorization.

201330133313031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277524 (or 3277521 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 201330133313031 its reverse (130313331033102), we get a palindrome (331643464346133).

The spelling of 201330133313031 in words is "two hundred one trillion, three hundred thirty billion, one hundred thirty-three million, three hundred thirteen thousand, thirty-one".