133103321131311 has 64 divisors (see below), whose sum is σ = 203365374105600. Its totient is φ = 85976840880000.

The previous prime is 133103321131289. The next prime is 133103321131327. The reversal of 133103321131311 is 113131123301331.

133103321131311 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 332 + 1 + 1 + 313 + 11 = 666.

It is not a de Polignac number, because 133103321131311 - 2⁶ = 133103321131247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133103321131331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1383835641 + ... + 1383931821.

It is an arithmetic number, because the mean of its divisors is an integer number (3177583970400).

Almost surely, 2^{133103321131311} is an apocalyptic number.

133103321131311 is a deficient number, since it is larger than the sum of its proper divisors (70262052974289).

133103321131311 is a wasteful number, since it uses less digits than its factorization.

133103321131311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101997 (or 101991 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 133103321131311 its reverse (113131123301331), we get a palindrome (246234444432642).

The spelling of 133103321131311 in words is "one hundred thirty-three trillion, one hundred three billion, three hundred twenty-one million, one hundred thirty-one thousand, three hundred eleven".